Recoil ions from very small impact-parameter collisions of 20-70-keV protons with xenon atoms were selected by viewing only those ejected at 50" and 70" from the beam direction. These ions were charge-state analyzed and the cross sections determined for the production of charge states up to 6+. In such collisions, multiple ionization accounts for 60-80% of the ionizing collisions and 80-90 % of the total ionization.