We have 60 minutes per hour.
So, in 24 hours we have 60 * 24 = <<60*24=1440>>1440 minutes.
So, the volume of air Ross inhaled in 24 hours is: 17 breaths/minute * 5/9 L/breath * 1440 minutes = 122400 / 9 = <<17*5/9*1440=13600>>13600 liters.
The volume of air inhaled is 13600 liters.
#### 13600