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Finding the Fourth Proportional to 17,082.16, 25,626.34 and 7,726.59

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Solution

The fourth proportional to 17,082.16, 25,626.34 and 7,726.59 is: 11,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.16 : 25,626.34 = 7,726.59 : x
  2. Step 2: Convert to fraction form
    17,082.16/25,626.34 = 7,726.59/x
  3. Step 3: Cross multiply
    17,082.16x = 25,626.34 × 7,726.59
  4. Step 4: Simplify right side
    17,082.16x = 198,004,232.04
  5. Step 5: Solve for x
    x = 198,004,232.04/17,082.16
  6. Step 6: Final answer
    x = 11,591.29

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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.