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Finding the Fourth Proportional to 11,404.80, 17,082.90 and 9,217.80

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Solution

The fourth proportional to 11,404.80, 17,082.90 and 9,217.80 is: 13,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.80 : 17,082.90 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    11,404.80/17,082.90 = 9,217.80/x
  3. Step 3: Cross multiply
    11,404.80x = 17,082.90 × 9,217.80
  4. Step 4: Simplify right side
    11,404.80x = 157,466,755.62
  5. Step 5: Solve for x
    x = 157,466,755.62/11,404.80
  6. Step 6: Final answer
    x = 13,807.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.