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Finding the Fourth Proportional to 24,139.44, 36,209.17 and 7,499.48

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Solution

The fourth proportional to 24,139.44, 36,209.17 and 7,499.48 is: 11,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.44 : 36,209.17 = 7,499.48 : x
  2. Step 2: Convert to fraction form
    24,139.44/36,209.17 = 7,499.48/x
  3. Step 3: Cross multiply
    24,139.44x = 36,209.17 × 7,499.48
  4. Step 4: Simplify right side
    24,139.44x = 271,550,046.13
  5. Step 5: Solve for x
    x = 271,550,046.13/24,139.44
  6. Step 6: Final answer
    x = 11,249.23

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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.