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Finding the Fourth Proportional to 27,468.30, 41,202.45 and 6,691.80

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Solution

The fourth proportional to 27,468.30, 41,202.45 and 6,691.80 is: 10,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.30 : 41,202.45 = 6,691.80 : x
  2. Step 2: Convert to fraction form
    27,468.30/41,202.45 = 6,691.80/x
  3. Step 3: Cross multiply
    27,468.30x = 41,202.45 × 6,691.80
  4. Step 4: Simplify right side
    27,468.30x = 275,718,554.91
  5. Step 5: Solve for x
    x = 275,718,554.91/27,468.30
  6. Step 6: Final answer
    x = 10,037.70

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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.