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Finding the Fourth Proportional to 20,142.69, 30,082.30 and 17,149.21

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Solution

The fourth proportional to 20,142.69, 30,082.30 and 17,149.21 is: 25,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.69 : 30,082.30 = 17,149.21 : x
  2. Step 2: Convert to fraction form
    20,142.69/30,082.30 = 17,149.21/x
  3. Step 3: Cross multiply
    20,142.69x = 30,082.30 × 17,149.21
  4. Step 4: Simplify right side
    20,142.69x = 515,887,679.98
  5. Step 5: Solve for x
    x = 515,887,679.98/20,142.69
  6. Step 6: Final answer
    x = 25,611.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.