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Finding the Fourth Proportional to 24,638.92, 36,984.70 and 10,605.90

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Solution

The fourth proportional to 24,638.92, 36,984.70 and 10,605.90 is: 15,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.92 : 36,984.70 = 10,605.90 : x
  2. Step 2: Convert to fraction form
    24,638.92/36,984.70 = 10,605.90/x
  3. Step 3: Cross multiply
    24,638.92x = 36,984.70 × 10,605.90
  4. Step 4: Simplify right side
    24,638.92x = 392,256,029.73
  5. Step 5: Solve for x
    x = 392,256,029.73/24,638.92
  6. Step 6: Final answer
    x = 15,920.18

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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.