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Finding the Fourth Proportional to 16,117.65, 24,179.49 and 5,587.20

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Solution

The fourth proportional to 16,117.65, 24,179.49 and 5,587.20 is: 8,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.65 : 24,179.49 = 5,587.20 : x
  2. Step 2: Convert to fraction form
    16,117.65/24,179.49 = 5,587.20/x
  3. Step 3: Cross multiply
    16,117.65x = 24,179.49 × 5,587.20
  4. Step 4: Simplify right side
    16,117.65x = 135,095,646.53
  5. Step 5: Solve for x
    x = 135,095,646.53/16,117.65
  6. Step 6: Final answer
    x = 8,381.85

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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.