It sure does sound like that's what the problem is. The fan by the compressor is running as it is blowing air out from the compressor. Do you reach the other fan from inside the unit or outside on the back on the bottom of the fridge?
This is a Whirlpool Model Number ED25PDXFw01.
When the fan over the compressor was replaced, the part was $150.00 and the labor was $300.00. The guy earned every last penny on the labor. To get to the compressor fan motor he had to pull the refrigerator out all the way, then lay on his back with his rear end against the wall, legs going up the wall and then put his hands and arms about two feet into the bottom of the refrigerator to hunt around for the nuts and screws that hold the motor in place by feel only. It took him almost two hours to get the job done from start to paying the bill. I wouldn't have had the patience.
The neighbor across the street replaced a relay that shut the unit down around 2003 in 2004 he replaced another one, then in 2005 he replaced all of them. So we haven't had any more relay problems. Then the solenoid valves for the water & ice went out. Then the fan motor went out, then the thing in the freezer door that controls the ice/water paddles went out.
I finally told the refrigerator the next time you fail, off to the dump you go!
Right now one of our appliance stores is selling a 26ft capacity GE double door for $999, marked down from $1600.00. It's that touch free stainless steel look alike finish. We are seriously thinking of buying it.
Personally, I feel that this refrigerator was a lemon from the start. This is also the first refrigerator we had that has totally died on us, let alone loose all our food five times over the past few years. Previously the worst problem we had was that we had to replace an ice maker one time. So I consider ourselves quite lucky.
And tonight the door latch on our newer Maytag dishwasher decided to jam.