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Finding the Fourth Proportional to 27,695.75, 41,542.22 and 10,164.20

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Solution

The fourth proportional to 27,695.75, 41,542.22 and 10,164.20 is: 15,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.75 : 41,542.22 = 10,164.20 : x
  2. Step 2: Convert to fraction form
    27,695.75/41,542.22 = 10,164.20/x
  3. Step 3: Cross multiply
    27,695.75x = 41,542.22 × 10,164.20
  4. Step 4: Simplify right side
    27,695.75x = 422,243,173.99
  5. Step 5: Solve for x
    x = 422,243,173.99/27,695.75
  6. Step 6: Final answer
    x = 15,245.78

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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.