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Finding the Fourth Proportional to 27,972.70, 41,958.99 and 8,251.46

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Solution

The fourth proportional to 27,972.70, 41,958.99 and 8,251.46 is: 12,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.70 : 41,958.99 = 8,251.46 : x
  2. Step 2: Convert to fraction form
    27,972.70/41,958.99 = 8,251.46/x
  3. Step 3: Cross multiply
    27,972.70x = 41,958.99 × 8,251.46
  4. Step 4: Simplify right side
    27,972.70x = 346,222,927.63
  5. Step 5: Solve for x
    x = 346,222,927.63/27,972.70
  6. Step 6: Final answer
    x = 12,377.17

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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.