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Finding the Fourth Proportional to 17,091.20, 25,648.17 and 6,569.90

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Solution

The fourth proportional to 17,091.20, 25,648.17 and 6,569.90 is: 9,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.20 : 25,648.17 = 6,569.90 : x
  2. Step 2: Convert to fraction form
    17,091.20/25,648.17 = 6,569.90/x
  3. Step 3: Cross multiply
    17,091.20x = 25,648.17 × 6,569.90
  4. Step 4: Simplify right side
    17,091.20x = 168,505,912.08
  5. Step 5: Solve for x
    x = 168,505,912.08/17,091.20
  6. Step 6: Final answer
    x = 9,859.22

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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.