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Finding the Fourth Proportional to 24,909.24, 34,375.14 and 13,731.24

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Solution

The fourth proportional to 24,909.24, 34,375.14 and 13,731.24 is: 18,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.24 : 34,375.14 = 13,731.24 : x
  2. Step 2: Convert to fraction form
    24,909.24/34,375.14 = 13,731.24/x
  3. Step 3: Cross multiply
    24,909.24x = 34,375.14 × 13,731.24
  4. Step 4: Simplify right side
    24,909.24x = 472,013,297.37
  5. Step 5: Solve for x
    x = 472,013,297.37/24,909.24
  6. Step 6: Final answer
    x = 18,949.33

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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.