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Finding the Fourth Proportional to 15,882.62, 23,817.85 and 5,349.80

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Solution

The fourth proportional to 15,882.62, 23,817.85 and 5,349.80 is: 8,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.62 : 23,817.85 = 5,349.80 : x
  2. Step 2: Convert to fraction form
    15,882.62/23,817.85 = 5,349.80/x
  3. Step 3: Cross multiply
    15,882.62x = 23,817.85 × 5,349.80
  4. Step 4: Simplify right side
    15,882.62x = 127,420,780.10
  5. Step 5: Solve for x
    x = 127,420,780.10/15,882.62
  6. Step 6: Final answer
    x = 8,022.66

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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.