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Finding the Fourth Proportional to 20,049.14, 30,073.71 and 6,198.14

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Solution

The fourth proportional to 20,049.14, 30,073.71 and 6,198.14 is: 9,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.14 : 30,073.71 = 6,198.14 : x
  2. Step 2: Convert to fraction form
    20,049.14/30,073.71 = 6,198.14/x
  3. Step 3: Cross multiply
    20,049.14x = 30,073.71 × 6,198.14
  4. Step 4: Simplify right side
    20,049.14x = 186,401,064.90
  5. Step 5: Solve for x
    x = 186,401,064.90/20,049.14
  6. Step 6: Final answer
    x = 9,297.21

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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.