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Finding the Fourth Proportional to 16,249.71, 24,377.45 and 6,117.87

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Solution

The fourth proportional to 16,249.71, 24,377.45 and 6,117.87 is: 9,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.71 : 24,377.45 = 6,117.87 : x
  2. Step 2: Convert to fraction form
    16,249.71/24,377.45 = 6,117.87/x
  3. Step 3: Cross multiply
    16,249.71x = 24,377.45 × 6,117.87
  4. Step 4: Simplify right side
    16,249.71x = 149,138,039.44
  5. Step 5: Solve for x
    x = 149,138,039.44/16,249.71
  6. Step 6: Final answer
    x = 9,177.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.