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Finding the Fourth Proportional to 20,233.78, 30,355.18 and 6,195.78

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Solution

The fourth proportional to 20,233.78, 30,355.18 and 6,195.78 is: 9,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.78 : 30,355.18 = 6,195.78 : x
  2. Step 2: Convert to fraction form
    20,233.78/30,355.18 = 6,195.78/x
  3. Step 3: Cross multiply
    20,233.78x = 30,355.18 × 6,195.78
  4. Step 4: Simplify right side
    20,233.78x = 188,074,017.14
  5. Step 5: Solve for x
    x = 188,074,017.14/20,233.78
  6. Step 6: Final answer
    x = 9,295.05

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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.