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Finding the Fourth Proportional to 16,103.92, 24,147.24 and 7,340.80

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Solution

The fourth proportional to 16,103.92, 24,147.24 and 7,340.80 is: 11,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.92 : 24,147.24 = 7,340.80 : x
  2. Step 2: Convert to fraction form
    16,103.92/24,147.24 = 7,340.80/x
  3. Step 3: Cross multiply
    16,103.92x = 24,147.24 × 7,340.80
  4. Step 4: Simplify right side
    16,103.92x = 177,260,059.39
  5. Step 5: Solve for x
    x = 177,260,059.39/16,103.92
  6. Step 6: Final answer
    x = 11,007.26

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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.