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Finding the Fourth Proportional to 26,851.92, 40,278.05 and 9,082.71

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Solution

The fourth proportional to 26,851.92, 40,278.05 and 9,082.71 is: 13,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,851.92 : 40,278.05 = 9,082.71 : x
  2. Step 2: Convert to fraction form
    26,851.92/40,278.05 = 9,082.71/x
  3. Step 3: Cross multiply
    26,851.92x = 40,278.05 × 9,082.71
  4. Step 4: Simplify right side
    26,851.92x = 365,833,802.10
  5. Step 5: Solve for x
    x = 365,833,802.10/26,851.92
  6. Step 6: Final answer
    x = 13,624.12

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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.