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Finding the Fourth Proportional to 27,441.97, 41,163.15 and 7,722.52

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Solution

The fourth proportional to 27,441.97, 41,163.15 and 7,722.52 is: 11,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.97 : 41,163.15 = 7,722.52 : x
  2. Step 2: Convert to fraction form
    27,441.97/41,163.15 = 7,722.52/x
  3. Step 3: Cross multiply
    27,441.97x = 41,163.15 × 7,722.52
  4. Step 4: Simplify right side
    27,441.97x = 317,883,249.14
  5. Step 5: Solve for x
    x = 317,883,249.14/27,441.97
  6. Step 6: Final answer
    x = 11,583.83

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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.