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Finding the Fourth Proportional to 22,452.80, 30,986.25 and 12,381.22

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Solution

The fourth proportional to 22,452.80, 30,986.25 and 12,381.22 is: 17,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.80 : 30,986.25 = 12,381.22 : x
  2. Step 2: Convert to fraction form
    22,452.80/30,986.25 = 12,381.22/x
  3. Step 3: Cross multiply
    22,452.80x = 30,986.25 × 12,381.22
  4. Step 4: Simplify right side
    22,452.80x = 383,647,570.53
  5. Step 5: Solve for x
    x = 383,647,570.53/22,452.80
  6. Step 6: Final answer
    x = 17,086.85

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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.