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Finding the Fourth Proportional to 24,331, 36,496.52 and 5,863

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Solution

The fourth proportional to 24,331, 36,496.52 and 5,863 is: 8,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331 : 36,496.52 = 5,863 : x
  2. Step 2: Convert to fraction form
    24,331/36,496.52 = 5,863/x
  3. Step 3: Cross multiply
    24,331x = 36,496.52 × 5,863
  4. Step 4: Simplify right side
    24,331x = 213,979,096.76
  5. Step 5: Solve for x
    x = 213,979,096.76/24,331
  6. Step 6: Final answer
    x = 8,794.50

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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.