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Finding the Fourth Proportional to 27,882.34, 41,825.67 and 12,297.22

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Solution

The fourth proportional to 27,882.34, 41,825.67 and 12,297.22 is: 18,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.34 : 41,825.67 = 12,297.22 : x
  2. Step 2: Convert to fraction form
    27,882.34/41,825.67 = 12,297.22/x
  3. Step 3: Cross multiply
    27,882.34x = 41,825.67 × 12,297.22
  4. Step 4: Simplify right side
    27,882.34x = 514,339,465.64
  5. Step 5: Solve for x
    x = 514,339,465.64/27,882.34
  6. Step 6: Final answer
    x = 18,446.78

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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.