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Finding the Fourth Proportional to 16,344.96, 24,517.68 and 7,906.56

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Solution

The fourth proportional to 16,344.96, 24,517.68 and 7,906.56 is: 11,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.96 : 24,517.68 = 7,906.56 : x
  2. Step 2: Convert to fraction form
    16,344.96/24,517.68 = 7,906.56/x
  3. Step 3: Cross multiply
    16,344.96x = 24,517.68 × 7,906.56
  4. Step 4: Simplify right side
    16,344.96x = 193,850,507.98
  5. Step 5: Solve for x
    x = 193,850,507.98/16,344.96
  6. Step 6: Final answer
    x = 11,859.96

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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.