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Finding the Fourth Proportional to 17,175.20, 25,760.64 and 5,489.60

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Solution

The fourth proportional to 17,175.20, 25,760.64 and 5,489.60 is: 8,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.20 : 25,760.64 = 5,489.60 : x
  2. Step 2: Convert to fraction form
    17,175.20/25,760.64 = 5,489.60/x
  3. Step 3: Cross multiply
    17,175.20x = 25,760.64 × 5,489.60
  4. Step 4: Simplify right side
    17,175.20x = 141,415,609.34
  5. Step 5: Solve for x
    x = 141,415,609.34/17,175.20
  6. Step 6: Final answer
    x = 8,233.71

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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.