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Finding the Fourth Proportional to 24,402.78, 36,604.20 and 5,934.78

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Solution

The fourth proportional to 24,402.78, 36,604.20 and 5,934.78 is: 8,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.78 : 36,604.20 = 5,934.78 : x
  2. Step 2: Convert to fraction form
    24,402.78/36,604.20 = 5,934.78/x
  3. Step 3: Cross multiply
    24,402.78x = 36,604.20 × 5,934.78
  4. Step 4: Simplify right side
    24,402.78x = 217,237,874.08
  5. Step 5: Solve for x
    x = 217,237,874.08/24,402.78
  6. Step 6: Final answer
    x = 8,902.18

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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.