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Finding the Fourth Proportional to 27,882.26, 41,818.55 and 9,162.42

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Solution

The fourth proportional to 27,882.26, 41,818.55 and 9,162.42 is: 13,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.26 : 41,818.55 = 9,162.42 : x
  2. Step 2: Convert to fraction form
    27,882.26/41,818.55 = 9,162.42/x
  3. Step 3: Cross multiply
    27,882.26x = 41,818.55 × 9,162.42
  4. Step 4: Simplify right side
    27,882.26x = 383,158,916.26
  5. Step 5: Solve for x
    x = 383,158,916.26/27,882.26
  6. Step 6: Final answer
    x = 13,742.03

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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.