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Finding the Fourth Proportional to 24,067.35, 36,107.16 and 10,022.70

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Solution

The fourth proportional to 24,067.35, 36,107.16 and 10,022.70 is: 15,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,067.35 : 36,107.16 = 10,022.70 : x
  2. Step 2: Convert to fraction form
    24,067.35/36,107.16 = 10,022.70/x
  3. Step 3: Cross multiply
    24,067.35x = 36,107.16 × 10,022.70
  4. Step 4: Simplify right side
    24,067.35x = 361,891,232.53
  5. Step 5: Solve for x
    x = 361,891,232.53/24,067.35
  6. Step 6: Final answer
    x = 15,036.60

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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.