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Finding the Fourth Proportional to 16,144.92, 24,213.60 and 7,382.34

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Solution

The fourth proportional to 16,144.92, 24,213.60 and 7,382.34 is: 11,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.92 : 24,213.60 = 7,382.34 : x
  2. Step 2: Convert to fraction form
    16,144.92/24,213.60 = 7,382.34/x
  3. Step 3: Cross multiply
    16,144.92x = 24,213.60 × 7,382.34
  4. Step 4: Simplify right side
    16,144.92x = 178,753,027.82
  5. Step 5: Solve for x
    x = 178,753,027.82/16,144.92
  6. Step 6: Final answer
    x = 11,071.78

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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.