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$($Pass PLS Exam Problem$)$ The portion of a township plat shown below has been annotated to show which corners are lost and found at this date. Township $4$ North, Range $2$ East is bounded by regularly surveyed townships to the west, north and east, and by Rancho Rivetta to the south.

The found original corners are U$.$S$.$ Government Survey monuments described in the notes of the survey. There are no topographical or accessory calls recovered; the lost original corners have been properly identified as such.

No excessive distortion was found in the record dimensions indicated in the plat and field notes for the rancho and township.

Explain the procedure necessary to establish the corners in the following order: $8,9,17,19,23,22,26,13$