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Finding the Fourth Proportional to 17,084.97, 23,577.27 and 9,531.30

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Solution

The fourth proportional to 17,084.97, 23,577.27 and 9,531.30 is: 13,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.97 : 23,577.27 = 9,531.30 : x
  2. Step 2: Convert to fraction form
    17,084.97/23,577.27 = 9,531.30/x
  3. Step 3: Cross multiply
    17,084.97x = 23,577.27 × 9,531.30
  4. Step 4: Simplify right side
    17,084.97x = 224,722,117.73
  5. Step 5: Solve for x
    x = 224,722,117.73/17,084.97
  6. Step 6: Final answer
    x = 13,153.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.