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Finding the Fourth Proportional to 22,432.80, 30,965.04 and 15,382.56

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Solution

The fourth proportional to 22,432.80, 30,965.04 and 15,382.56 is: 21,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.80 : 30,965.04 = 15,382.56 : x
  2. Step 2: Convert to fraction form
    22,432.80/30,965.04 = 15,382.56/x
  3. Step 3: Cross multiply
    22,432.80x = 30,965.04 × 15,382.56
  4. Step 4: Simplify right side
    22,432.80x = 476,321,585.70
  5. Step 5: Solve for x
    x = 476,321,585.70/22,432.80
  6. Step 6: Final answer
    x = 21,233.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.