The treasurer of any county of this state receiving the certified statement provided for in RCW 84.56.150 and 84.56.160, shall have the same power to collect the taxes, penalties and delinquencies so certified as the treasurer has to collect the personal taxes levied on personal property in his or her own county, and as soon as the said taxes are collected they shall be remitted, less the cost of collecting same, to the treasurer of the county to which said taxes belong, by the treasurer collecting them.