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Finding the Fourth Proportional to 22,452.32, 30,986.04 and 12,382.73

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Solution

The fourth proportional to 22,452.32, 30,986.04 and 12,382.73 is: 17,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.32 : 30,986.04 = 12,382.73 : x
  2. Step 2: Convert to fraction form
    22,452.32/30,986.04 = 12,382.73/x
  3. Step 3: Cross multiply
    22,452.32x = 30,986.04 × 12,382.73
  4. Step 4: Simplify right side
    22,452.32x = 383,691,612.16
  5. Step 5: Solve for x
    x = 383,691,612.16/22,452.32
  6. Step 6: Final answer
    x = 17,089.18

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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.