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Finding the Fourth Proportional to 17,082.24, 25,626.09 and 7,221.60

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Solution

The fourth proportional to 17,082.24, 25,626.09 and 7,221.60 is: 10,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.24 : 25,626.09 = 7,221.60 : x
  2. Step 2: Convert to fraction form
    17,082.24/25,626.09 = 7,221.60/x
  3. Step 3: Cross multiply
    17,082.24x = 25,626.09 × 7,221.60
  4. Step 4: Simplify right side
    17,082.24x = 185,061,371.54
  5. Step 5: Solve for x
    x = 185,061,371.54/17,082.24
  6. Step 6: Final answer
    x = 10,833.55

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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.