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Finding the Fourth Proportional to 16,282.68, 24,425.78 and 5,892.12

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Solution

The fourth proportional to 16,282.68, 24,425.78 and 5,892.12 is: 8,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.68 : 24,425.78 = 5,892.12 : x
  2. Step 2: Convert to fraction form
    16,282.68/24,425.78 = 5,892.12/x
  3. Step 3: Cross multiply
    16,282.68x = 24,425.78 × 5,892.12
  4. Step 4: Simplify right side
    16,282.68x = 143,919,626.85
  5. Step 5: Solve for x
    x = 143,919,626.85/16,282.68
  6. Step 6: Final answer
    x = 8,838.82

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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.