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Finding the Fourth Proportional to 16,081.92, 24,114.24 and 7,318.80

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Solution

The fourth proportional to 16,081.92, 24,114.24 and 7,318.80 is: 10,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.92 : 24,114.24 = 7,318.80 : x
  2. Step 2: Convert to fraction form
    16,081.92/24,114.24 = 7,318.80/x
  3. Step 3: Cross multiply
    16,081.92x = 24,114.24 × 7,318.80
  4. Step 4: Simplify right side
    16,081.92x = 176,487,299.71
  5. Step 5: Solve for x
    x = 176,487,299.71/16,081.92
  6. Step 6: Final answer
    x = 10,974.27

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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.