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Finding the Fourth Proportional to 17,600.20, 24,288.24 and 9,642.68

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Solution

The fourth proportional to 17,600.20, 24,288.24 and 9,642.68 is: 13,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.20 : 24,288.24 = 9,642.68 : x
  2. Step 2: Convert to fraction form
    17,600.20/24,288.24 = 9,642.68/x
  3. Step 3: Cross multiply
    17,600.20x = 24,288.24 × 9,642.68
  4. Step 4: Simplify right side
    17,600.20x = 234,203,726.08
  5. Step 5: Solve for x
    x = 234,203,726.08/17,600.20
  6. Step 6: Final answer
    x = 13,306.88

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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.