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Finding the Fourth Proportional to 16,046.50, 24,049.68 and 7,724.30

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Solution

The fourth proportional to 16,046.50, 24,049.68 and 7,724.30 is: 11,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.50 : 24,049.68 = 7,724.30 : x
  2. Step 2: Convert to fraction form
    16,046.50/24,049.68 = 7,724.30/x
  3. Step 3: Cross multiply
    16,046.50x = 24,049.68 × 7,724.30
  4. Step 4: Simplify right side
    16,046.50x = 185,766,943.22
  5. Step 5: Solve for x
    x = 185,766,943.22/16,046.50
  6. Step 6: Final answer
    x = 11,576.79

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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.