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Finding the Fourth Proportional to 16,537.38, 22,821.53 and 9,463.79

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Solution

The fourth proportional to 16,537.38, 22,821.53 and 9,463.79 is: 13,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.38 : 22,821.53 = 9,463.79 : x
  2. Step 2: Convert to fraction form
    16,537.38/22,821.53 = 9,463.79/x
  3. Step 3: Cross multiply
    16,537.38x = 22,821.53 × 9,463.79
  4. Step 4: Simplify right side
    16,537.38x = 215,978,005.97
  5. Step 5: Solve for x
    x = 215,978,005.97/16,537.38
  6. Step 6: Final answer
    x = 13,059.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.