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Finding the Fourth Proportional to 17,098.25, 25,648.82 and 4,786.25

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Solution

The fourth proportional to 17,098.25, 25,648.82 and 4,786.25 is: 7,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.25 : 25,648.82 = 4,786.25 : x
  2. Step 2: Convert to fraction form
    17,098.25/25,648.82 = 4,786.25/x
  3. Step 3: Cross multiply
    17,098.25x = 25,648.82 × 4,786.25
  4. Step 4: Simplify right side
    17,098.25x = 122,761,640.79
  5. Step 5: Solve for x
    x = 122,761,640.79/17,098.25
  6. Step 6: Final answer
    x = 7,179.78

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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.