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Finding the Fourth Proportional to 24,249.26, 36,375.42 and 7,609.95

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Solution

The fourth proportional to 24,249.26, 36,375.42 and 7,609.95 is: 11,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,249.26 : 36,375.42 = 7,609.95 : x
  2. Step 2: Convert to fraction form
    24,249.26/36,375.42 = 7,609.95/x
  3. Step 3: Cross multiply
    24,249.26x = 36,375.42 × 7,609.95
  4. Step 4: Simplify right side
    24,249.26x = 276,815,155.97
  5. Step 5: Solve for x
    x = 276,815,155.97/24,249.26
  6. Step 6: Final answer
    x = 11,415.41

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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.