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Finding the Fourth Proportional to 15,724.10, 21,702.04 and 9,436.88

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Solution

The fourth proportional to 15,724.10, 21,702.04 and 9,436.88 is: 13,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.10 : 21,702.04 = 9,436.88 : x
  2. Step 2: Convert to fraction form
    15,724.10/21,702.04 = 9,436.88/x
  3. Step 3: Cross multiply
    15,724.10x = 21,702.04 × 9,436.88
  4. Step 4: Simplify right side
    15,724.10x = 204,799,415.13
  5. Step 5: Solve for x
    x = 204,799,415.13/15,724.10
  6. Step 6: Final answer
    x = 13,024.56

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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.