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Finding the Fourth Proportional to 27,974.88, 41,951.70 and 9,249.30

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Solution

The fourth proportional to 27,974.88, 41,951.70 and 9,249.30 is: 13,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.88 : 41,951.70 = 9,249.30 : x
  2. Step 2: Convert to fraction form
    27,974.88/41,951.70 = 9,249.30/x
  3. Step 3: Cross multiply
    27,974.88x = 41,951.70 × 9,249.30
  4. Step 4: Simplify right side
    27,974.88x = 388,023,858.81
  5. Step 5: Solve for x
    x = 388,023,858.81/27,974.88
  6. Step 6: Final answer
    x = 13,870.44

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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.