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Finding the Fourth Proportional to 20,198.54, 30,294.16 and 6,155.21

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Solution

The fourth proportional to 20,198.54, 30,294.16 and 6,155.21 is: 9,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.54 : 30,294.16 = 6,155.21 : x
  2. Step 2: Convert to fraction form
    20,198.54/30,294.16 = 6,155.21/x
  3. Step 3: Cross multiply
    20,198.54x = 30,294.16 × 6,155.21
  4. Step 4: Simplify right side
    20,198.54x = 186,466,916.57
  5. Step 5: Solve for x
    x = 186,466,916.57/20,198.54
  6. Step 6: Final answer
    x = 9,231.70

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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.