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Finding the Fourth Proportional to 27,882.20, 41,823.54 and 7,105.68

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Solution

The fourth proportional to 27,882.20, 41,823.54 and 7,105.68 is: 10,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.20 : 41,823.54 = 7,105.68 : x
  2. Step 2: Convert to fraction form
    27,882.20/41,823.54 = 7,105.68/x
  3. Step 3: Cross multiply
    27,882.20x = 41,823.54 × 7,105.68
  4. Step 4: Simplify right side
    27,882.20x = 297,184,691.71
  5. Step 5: Solve for x
    x = 297,184,691.71/27,882.20
  6. Step 6: Final answer
    x = 10,658.58

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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.