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Finding the Fourth Proportional to 17,156.14, 25,738 and 5,469.36

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Solution

The fourth proportional to 17,156.14, 25,738 and 5,469.36 is: 8,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.14 : 25,738 = 5,469.36 : x
  2. Step 2: Convert to fraction form
    17,156.14/25,738 = 5,469.36/x
  3. Step 3: Cross multiply
    17,156.14x = 25,738 × 5,469.36
  4. Step 4: Simplify right side
    17,156.14x = 140,770,387.68
  5. Step 5: Solve for x
    x = 140,770,387.68/17,156.14
  6. Step 6: Final answer
    x = 8,205.25

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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.