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Finding the Fourth Proportional to 16,515.43, 22,791.27 and 9,442

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Solution

The fourth proportional to 16,515.43, 22,791.27 and 9,442 is: 13,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.43 : 22,791.27 = 9,442 : x
  2. Step 2: Convert to fraction form
    16,515.43/22,791.27 = 9,442/x
  3. Step 3: Cross multiply
    16,515.43x = 22,791.27 × 9,442
  4. Step 4: Simplify right side
    16,515.43x = 215,195,171.34
  5. Step 5: Solve for x
    x = 215,195,171.34/16,515.43
  6. Step 6: Final answer
    x = 13,029.95

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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.