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Finding the Fourth Proportional to 15,508.44, 21,402.90 and 9,542.16

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Solution

The fourth proportional to 15,508.44, 21,402.90 and 9,542.16 is: 13,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.44 : 21,402.90 = 9,542.16 : x
  2. Step 2: Convert to fraction form
    15,508.44/21,402.90 = 9,542.16/x
  3. Step 3: Cross multiply
    15,508.44x = 21,402.90 × 9,542.16
  4. Step 4: Simplify right side
    15,508.44x = 204,229,896.26
  5. Step 5: Solve for x
    x = 204,229,896.26/15,508.44
  6. Step 6: Final answer
    x = 13,168.95

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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.