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Finding the Fourth Proportional to 24,932.78, 37,367.97 and 12,456.30

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Solution

The fourth proportional to 24,932.78, 37,367.97 and 12,456.30 is: 18,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.78 : 37,367.97 = 12,456.30 : x
  2. Step 2: Convert to fraction form
    24,932.78/37,367.97 = 12,456.30/x
  3. Step 3: Cross multiply
    24,932.78x = 37,367.97 × 12,456.30
  4. Step 4: Simplify right side
    24,932.78x = 465,466,644.71
  5. Step 5: Solve for x
    x = 465,466,644.71/24,932.78
  6. Step 6: Final answer
    x = 18,668.87

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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.