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Finding the Fourth Proportional to 26,082.38, 39,111.96 and 8,309.76

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Solution

The fourth proportional to 26,082.38, 39,111.96 and 8,309.76 is: 12,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082.38 : 39,111.96 = 8,309.76 : x
  2. Step 2: Convert to fraction form
    26,082.38/39,111.96 = 8,309.76/x
  3. Step 3: Cross multiply
    26,082.38x = 39,111.96 × 8,309.76
  4. Step 4: Simplify right side
    26,082.38x = 325,011,000.73
  5. Step 5: Solve for x
    x = 325,011,000.73/26,082.38
  6. Step 6: Final answer
    x = 12,460.94

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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.