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Finding the Fourth Proportional to 15,734.97, 21,713.80 and 8,661.24

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Solution

The fourth proportional to 15,734.97, 21,713.80 and 8,661.24 is: 11,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.97 : 21,713.80 = 8,661.24 : x
  2. Step 2: Convert to fraction form
    15,734.97/21,713.80 = 8,661.24/x
  3. Step 3: Cross multiply
    15,734.97x = 21,713.80 × 8,661.24
  4. Step 4: Simplify right side
    15,734.97x = 188,068,433.11
  5. Step 5: Solve for x
    x = 188,068,433.11/15,734.97
  6. Step 6: Final answer
    x = 11,952.26

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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.