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Finding the Fourth Proportional to 17,523.57, 24,182.18 and 9,565.85

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Solution

The fourth proportional to 17,523.57, 24,182.18 and 9,565.85 is: 13,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.57 : 24,182.18 = 9,565.85 : x
  2. Step 2: Convert to fraction form
    17,523.57/24,182.18 = 9,565.85/x
  3. Step 3: Cross multiply
    17,523.57x = 24,182.18 × 9,565.85
  4. Step 4: Simplify right side
    17,523.57x = 231,323,059.38
  5. Step 5: Solve for x
    x = 231,323,059.38/17,523.57
  6. Step 6: Final answer
    x = 13,200.68

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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.