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Finding the Fourth Proportional to 27,767.20, 41,657.28 and 8,046.13

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Solution

The fourth proportional to 27,767.20, 41,657.28 and 8,046.13 is: 12,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.20 : 41,657.28 = 8,046.13 : x
  2. Step 2: Convert to fraction form
    27,767.20/41,657.28 = 8,046.13/x
  3. Step 3: Cross multiply
    27,767.20x = 41,657.28 × 8,046.13
  4. Step 4: Simplify right side
    27,767.20x = 335,179,890.33
  5. Step 5: Solve for x
    x = 335,179,890.33/27,767.20
  6. Step 6: Final answer
    x = 12,071.07

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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.