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Finding the Fourth Proportional to 26,676, 40,016.06 and 7,954.61

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Solution

The fourth proportional to 26,676, 40,016.06 and 7,954.61 is: 11,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676 : 40,016.06 = 7,954.61 : x
  2. Step 2: Convert to fraction form
    26,676/40,016.06 = 7,954.61/x
  3. Step 3: Cross multiply
    26,676x = 40,016.06 × 7,954.61
  4. Step 4: Simplify right side
    26,676x = 318,312,151.04
  5. Step 5: Solve for x
    x = 318,312,151.04/26,676
  6. Step 6: Final answer
    x = 11,932.53

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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.