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Finding the Fourth Proportional to 24,754.91, 34,160.82 and 13,424.20

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Solution

The fourth proportional to 24,754.91, 34,160.82 and 13,424.20 is: 18,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.91 : 34,160.82 = 13,424.20 : x
  2. Step 2: Convert to fraction form
    24,754.91/34,160.82 = 13,424.20/x
  3. Step 3: Cross multiply
    24,754.91x = 34,160.82 × 13,424.20
  4. Step 4: Simplify right side
    24,754.91x = 458,581,509.04
  5. Step 5: Solve for x
    x = 458,581,509.04/24,754.91
  6. Step 6: Final answer
    x = 18,524.87

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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.