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Finding the Fourth Proportional to 27,974.70, 41,965.83 and 8,250.39

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Solution

The fourth proportional to 27,974.70, 41,965.83 and 8,250.39 is: 12,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.70 : 41,965.83 = 8,250.39 : x
  2. Step 2: Convert to fraction form
    27,974.70/41,965.83 = 8,250.39/x
  3. Step 3: Cross multiply
    27,974.70x = 41,965.83 × 8,250.39
  4. Step 4: Simplify right side
    27,974.70x = 346,234,464.17
  5. Step 5: Solve for x
    x = 346,234,464.17/27,974.70
  6. Step 6: Final answer
    x = 12,376.70

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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.