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Finding the Fourth Proportional to 17,057.44, 25,609.90 and 8,743.20

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Solution

The fourth proportional to 17,057.44, 25,609.90 and 8,743.20 is: 13,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.44 : 25,609.90 = 8,743.20 : x
  2. Step 2: Convert to fraction form
    17,057.44/25,609.90 = 8,743.20/x
  3. Step 3: Cross multiply
    17,057.44x = 25,609.90 × 8,743.20
  4. Step 4: Simplify right side
    17,057.44x = 223,912,477.68
  5. Step 5: Solve for x
    x = 223,912,477.68/17,057.44
  6. Step 6: Final answer
    x = 13,126.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.