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Finding the Fourth Proportional to 26,857.65, 40,272.30 and 9,082.20

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Solution

The fourth proportional to 26,857.65, 40,272.30 and 9,082.20 is: 13,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857.65 : 40,272.30 = 9,082.20 : x
  2. Step 2: Convert to fraction form
    26,857.65/40,272.30 = 9,082.20/x
  3. Step 3: Cross multiply
    26,857.65x = 40,272.30 × 9,082.20
  4. Step 4: Simplify right side
    26,857.65x = 365,761,083.06
  5. Step 5: Solve for x
    x = 365,761,083.06/26,857.65
  6. Step 6: Final answer
    x = 13,618.51

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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.