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Finding the Fourth Proportional to 24,138.50, 36,207.77 and 13,728.38

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Solution

The fourth proportional to 24,138.50, 36,207.77 and 13,728.38 is: 20,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.50 : 36,207.77 = 13,728.38 : x
  2. Step 2: Convert to fraction form
    24,138.50/36,207.77 = 13,728.38/x
  3. Step 3: Cross multiply
    24,138.50x = 36,207.77 × 13,728.38
  4. Step 4: Simplify right side
    24,138.50x = 497,073,775.83
  5. Step 5: Solve for x
    x = 497,073,775.83/24,138.50
  6. Step 6: Final answer
    x = 20,592.58

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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.