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Finding the Fourth Proportional to 23,772.44, 35,642.04 and 10,439

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Solution

The fourth proportional to 23,772.44, 35,642.04 and 10,439 is: 15,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.44 : 35,642.04 = 10,439 : x
  2. Step 2: Convert to fraction form
    23,772.44/35,642.04 = 10,439/x
  3. Step 3: Cross multiply
    23,772.44x = 35,642.04 × 10,439
  4. Step 4: Simplify right side
    23,772.44x = 372,067,255.56
  5. Step 5: Solve for x
    x = 372,067,255.56/23,772.44
  6. Step 6: Final answer
    x = 15,651.20

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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.