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Finding the Fourth Proportional to 17,182.26, 25,749.09 and 7,311.60

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Solution

The fourth proportional to 17,182.26, 25,749.09 and 7,311.60 is: 10,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.26 : 25,749.09 = 7,311.60 : x
  2. Step 2: Convert to fraction form
    17,182.26/25,749.09 = 7,311.60/x
  3. Step 3: Cross multiply
    17,182.26x = 25,749.09 × 7,311.60
  4. Step 4: Simplify right side
    17,182.26x = 188,267,046.44
  5. Step 5: Solve for x
    x = 188,267,046.44/17,182.26
  6. Step 6: Final answer
    x = 10,957.06

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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.