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Finding the Fourth Proportional to 20,892.17, 31,342.82 and 8,412.62

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Solution

The fourth proportional to 20,892.17, 31,342.82 and 8,412.62 is: 12,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.17 : 31,342.82 = 8,412.62 : x
  2. Step 2: Convert to fraction form
    20,892.17/31,342.82 = 8,412.62/x
  3. Step 3: Cross multiply
    20,892.17x = 31,342.82 × 8,412.62
  4. Step 4: Simplify right side
    20,892.17x = 263,675,035.61
  5. Step 5: Solve for x
    x = 263,675,035.61/20,892.17
  6. Step 6: Final answer
    x = 12,620.76

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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.