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Finding the Fourth Proportional to 16,912.86, 25,375.77 and 6,382.14

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Solution

The fourth proportional to 16,912.86, 25,375.77 and 6,382.14 is: 9,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.86 : 25,375.77 = 6,382.14 : x
  2. Step 2: Convert to fraction form
    16,912.86/25,375.77 = 6,382.14/x
  3. Step 3: Cross multiply
    16,912.86x = 25,375.77 × 6,382.14
  4. Step 4: Simplify right side
    16,912.86x = 161,951,716.75
  5. Step 5: Solve for x
    x = 161,951,716.75/16,912.86
  6. Step 6: Final answer
    x = 9,575.66

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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.