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Finding the Fourth Proportional to 16,872.32, 25,308.82 and 5,791.74

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Solution

The fourth proportional to 16,872.32, 25,308.82 and 5,791.74 is: 8,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.32 : 25,308.82 = 5,791.74 : x
  2. Step 2: Convert to fraction form
    16,872.32/25,308.82 = 5,791.74/x
  3. Step 3: Cross multiply
    16,872.32x = 25,308.82 × 5,791.74
  4. Step 4: Simplify right side
    16,872.32x = 146,582,105.15
  5. Step 5: Solve for x
    x = 146,582,105.15/16,872.32
  6. Step 6: Final answer
    x = 8,687.73

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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.