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Finding the Fourth Proportional to 16,537.60, 22,821.42 and 9,463.78

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Solution

The fourth proportional to 16,537.60, 22,821.42 and 9,463.78 is: 13,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.60 : 22,821.42 = 9,463.78 : x
  2. Step 2: Convert to fraction form
    16,537.60/22,821.42 = 9,463.78/x
  3. Step 3: Cross multiply
    16,537.60x = 22,821.42 × 9,463.78
  4. Step 4: Simplify right side
    16,537.60x = 215,976,898.17
  5. Step 5: Solve for x
    x = 215,976,898.17/16,537.60
  6. Step 6: Final answer
    x = 13,059.75

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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.