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Finding the Fourth Proportional to 27,471.98, 41,207.65 and 6,695.48

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Solution

The fourth proportional to 27,471.98, 41,207.65 and 6,695.48 is: 10,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.98 : 41,207.65 = 6,695.48 : x
  2. Step 2: Convert to fraction form
    27,471.98/41,207.65 = 6,695.48/x
  3. Step 3: Cross multiply
    27,471.98x = 41,207.65 × 6,695.48
  4. Step 4: Simplify right side
    27,471.98x = 275,904,996.42
  5. Step 5: Solve for x
    x = 275,904,996.42/27,471.98
  6. Step 6: Final answer
    x = 10,043.14

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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.