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Finding the Fourth Proportional to 22,452.16, 30,984.20 and 12,380.96

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Solution

The fourth proportional to 22,452.16, 30,984.20 and 12,380.96 is: 17,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.16 : 30,984.20 = 12,380.96 : x
  2. Step 2: Convert to fraction form
    22,452.16/30,984.20 = 12,380.96/x
  3. Step 3: Cross multiply
    22,452.16x = 30,984.20 × 12,380.96
  4. Step 4: Simplify right side
    22,452.16x = 383,614,140.83
  5. Step 5: Solve for x
    x = 383,614,140.83/22,452.16
  6. Step 6: Final answer
    x = 17,085.85

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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.