I recently replaced an older dryer with a newer one. When I went to plug it in I found that the 220 plug was a different configuration and will not fit. Can I swap the pigtails on the two machines? They are both three wire.

You are supposed to take the plug from the old dryer and put it on the new one. All you do is put the outer wires on the hot terminals and the middle one on the neutral/ground connection. You will know which one is ground because it has a strap going from the middle terminal to the body of the dryer. Simple. Look at these: https://dl.dropboxusercontent.com/u/8010163/Whirlpool%20Dryers.zip