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Finding the Fourth Proportional to 24,489.38, 33,747.98 and 16,517.77

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Solution

The fourth proportional to 24,489.38, 33,747.98 and 16,517.77 is: 22,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.38 : 33,747.98 = 16,517.77 : x
  2. Step 2: Convert to fraction form
    24,489.38/33,747.98 = 16,517.77/x
  3. Step 3: Cross multiply
    24,489.38x = 33,747.98 × 16,517.77
  4. Step 4: Simplify right side
    24,489.38x = 557,441,204.65
  5. Step 5: Solve for x
    x = 557,441,204.65/24,489.38
  6. Step 6: Final answer
    x = 22,762.57

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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.