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Finding the Fourth Proportional to 26,451.40, 39,678.54 and 7,982.92

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Solution

The fourth proportional to 26,451.40, 39,678.54 and 7,982.92 is: 11,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,451.40 : 39,678.54 = 7,982.92 : x
  2. Step 2: Convert to fraction form
    26,451.40/39,678.54 = 7,982.92/x
  3. Step 3: Cross multiply
    26,451.40x = 39,678.54 × 7,982.92
  4. Step 4: Simplify right side
    26,451.40x = 316,750,610.54
  5. Step 5: Solve for x
    x = 316,750,610.54/26,451.40
  6. Step 6: Final answer
    x = 11,974.81

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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.