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Finding the Fourth Proportional to 24,743.70, 37,123.70 and 16,456.32

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Solution

The fourth proportional to 24,743.70, 37,123.70 and 16,456.32 is: 24,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.70 : 37,123.70 = 16,456.32 : x
  2. Step 2: Convert to fraction form
    24,743.70/37,123.70 = 16,456.32/x
  3. Step 3: Cross multiply
    24,743.70x = 37,123.70 × 16,456.32
  4. Step 4: Simplify right side
    24,743.70x = 610,919,404.50
  5. Step 5: Solve for x
    x = 610,919,404.50/24,743.70
  6. Step 6: Final answer
    x = 24,689.90

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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.