The present invention is directed to an applicator having an agricultural product mechanical conveying system which transfers particulate material from one or more source containers to application equipment on demand, and meters the material at the application equipment. The conveying system includes a pneumatic agitation system operably connected to the tanks of the applicator to agitate the particulate material disposed within the tanks in order to reduce the formation of agglomerations and/or bridges of particles within the tanks. The pneumatic agitation system includes a number of nozzle connected to each tank that are in turn connected to a pressurized air source and a controller. The controller is operable to selectively cause pressurized air to flow into the tanks through the nozzles to agitate the particulate material positioned therein, thereby breaking up and agglomerations of material within the tanks.