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Finding the Fourth Proportional to 17,142.29, 25,707.93 and 5,452.78

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Solution

The fourth proportional to 17,142.29, 25,707.93 and 5,452.78 is: 8,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.29 : 25,707.93 = 5,452.78 : x
  2. Step 2: Convert to fraction form
    17,142.29/25,707.93 = 5,452.78/x
  3. Step 3: Cross multiply
    17,142.29x = 25,707.93 × 5,452.78
  4. Step 4: Simplify right side
    17,142.29x = 140,179,686.55
  5. Step 5: Solve for x
    x = 140,179,686.55/17,142.29
  6. Step 6: Final answer
    x = 8,177.42

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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.