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Finding the Fourth Proportional to 22,452.69, 30,984.12 and 12,380.96

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Solution

The fourth proportional to 22,452.69, 30,984.12 and 12,380.96 is: 17,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.69 : 30,984.12 = 12,380.96 : x
  2. Step 2: Convert to fraction form
    22,452.69/30,984.12 = 12,380.96/x
  3. Step 3: Cross multiply
    22,452.69x = 30,984.12 × 12,380.96
  4. Step 4: Simplify right side
    22,452.69x = 383,613,227.82
  5. Step 5: Solve for x
    x = 383,613,227.82/22,452.69
  6. Step 6: Final answer
    x = 17,085.40

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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.