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Finding the Fourth Proportional to 16,125.68, 24,181.22 and 5,737.70

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Solution

The fourth proportional to 16,125.68, 24,181.22 and 5,737.70 is: 8,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.68 : 24,181.22 = 5,737.70 : x
  2. Step 2: Convert to fraction form
    16,125.68/24,181.22 = 5,737.70/x
  3. Step 3: Cross multiply
    16,125.68x = 24,181.22 × 5,737.70
  4. Step 4: Simplify right side
    16,125.68x = 138,744,479.43
  5. Step 5: Solve for x
    x = 138,744,479.43/16,125.68
  6. Step 6: Final answer
    x = 8,603.95

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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.