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Finding the Fourth Proportional to 16,046.13, 24,049.13 and 7,723.92

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Solution

The fourth proportional to 16,046.13, 24,049.13 and 7,723.92 is: 11,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.13 : 24,049.13 = 7,723.92 : x
  2. Step 2: Convert to fraction form
    16,046.13/24,049.13 = 7,723.92/x
  3. Step 3: Cross multiply
    16,046.13x = 24,049.13 × 7,723.92
  4. Step 4: Simplify right side
    16,046.13x = 185,753,517.57
  5. Step 5: Solve for x
    x = 185,753,517.57/16,046.13
  6. Step 6: Final answer
    x = 11,576.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.