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Finding the Fourth Proportional to 24,067.16, 36,105.89 and 7,201.49

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Solution

The fourth proportional to 24,067.16, 36,105.89 and 7,201.49 is: 10,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.16 : 36,105.89 = 7,201.49 : x
  2. Step 2: Convert to fraction form
    24,067.16/36,105.89 = 7,201.49/x
  3. Step 3: Cross multiply
    24,067.16x = 36,105.89 × 7,201.49
  4. Step 4: Simplify right side
    24,067.16x = 260,016,205.78
  5. Step 5: Solve for x
    x = 260,016,205.78/24,067.16
  6. Step 6: Final answer
    x = 10,803.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.