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Finding the Fourth Proportional to 24,474.78, 36,712.20 and 6,006.78

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Solution

The fourth proportional to 24,474.78, 36,712.20 and 6,006.78 is: 9,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.78 : 36,712.20 = 6,006.78 : x
  2. Step 2: Convert to fraction form
    24,474.78/36,712.20 = 6,006.78/x
  3. Step 3: Cross multiply
    24,474.78x = 36,712.20 × 6,006.78
  4. Step 4: Simplify right side
    24,474.78x = 220,522,108.72
  5. Step 5: Solve for x
    x = 220,522,108.72/24,474.78
  6. Step 6: Final answer
    x = 9,010.18

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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.