Wow. And I can't even get my teenager to clean her own room.
If you're really, really desperate to get her to clean up her room, you might try the expedient to which I have sometimes been driven. Yes, it's cruel--nay, abusive!--and it's important not to let the Child Protective Services authorities hear you have resorted to this. Still, it works, if you have the strength to withstand her screams of agony until she breaks:
Take away her modem cable.