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Finding the Fourth Proportional to 16,324.20, 24,488.46 and 5,227.20

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Solution

The fourth proportional to 16,324.20, 24,488.46 and 5,227.20 is: 7,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.20 : 24,488.46 = 5,227.20 : x
  2. Step 2: Convert to fraction form
    16,324.20/24,488.46 = 5,227.20/x
  3. Step 3: Cross multiply
    16,324.20x = 24,488.46 × 5,227.20
  4. Step 4: Simplify right side
    16,324.20x = 128,006,078.11
  5. Step 5: Solve for x
    x = 128,006,078.11/16,324.20
  6. Step 6: Final answer
    x = 7,841.49

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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.