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Finding the Fourth Proportional to 17,234.40, 25,856.40 and 8,469.60

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Solution

The fourth proportional to 17,234.40, 25,856.40 and 8,469.60 is: 12,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.40 : 25,856.40 = 8,469.60 : x
  2. Step 2: Convert to fraction form
    17,234.40/25,856.40 = 8,469.60/x
  3. Step 3: Cross multiply
    17,234.40x = 25,856.40 × 8,469.60
  4. Step 4: Simplify right side
    17,234.40x = 218,993,365.44
  5. Step 5: Solve for x
    x = 218,993,365.44/17,234.40
  6. Step 6: Final answer
    x = 12,706.76

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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.