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Finding the Fourth Proportional to 27,467.84, 41,201.78 and 6,691.16

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Solution

The fourth proportional to 27,467.84, 41,201.78 and 6,691.16 is: 10,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,467.84 : 41,201.78 = 6,691.16 : x
  2. Step 2: Convert to fraction form
    27,467.84/41,201.78 = 6,691.16/x
  3. Step 3: Cross multiply
    27,467.84x = 41,201.78 × 6,691.16
  4. Step 4: Simplify right side
    27,467.84x = 275,687,702.26
  5. Step 5: Solve for x
    x = 275,687,702.26/27,467.84
  6. Step 6: Final answer
    x = 10,036.74

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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.