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Finding the Fourth Proportional to 30,142.80, 41,591.70 and 18,198.14

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Solution

The fourth proportional to 30,142.80, 41,591.70 and 18,198.14 is: 25,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.80 : 41,591.70 = 18,198.14 : x
  2. Step 2: Convert to fraction form
    30,142.80/41,591.70 = 18,198.14/x
  3. Step 3: Cross multiply
    30,142.80x = 41,591.70 × 18,198.14
  4. Step 4: Simplify right side
    30,142.80x = 756,891,371.48
  5. Step 5: Solve for x
    x = 756,891,371.48/30,142.80
  6. Step 6: Final answer
    x = 25,110.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.