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Finding the Fourth Proportional to 26,082.10, 35,982.12 and 17,589.70

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Solution

The fourth proportional to 26,082.10, 35,982.12 and 17,589.70 is: 24,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082.10 : 35,982.12 = 17,589.70 : x
  2. Step 2: Convert to fraction form
    26,082.10/35,982.12 = 17,589.70/x
  3. Step 3: Cross multiply
    26,082.10x = 35,982.12 × 17,589.70
  4. Step 4: Simplify right side
    26,082.10x = 632,914,696.16
  5. Step 5: Solve for x
    x = 632,914,696.16/26,082.10
  6. Step 6: Final answer
    x = 24,266.25

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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.