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Finding the Fourth Proportional to 12,155.38, 18,233.07 and 6,299.70

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Solution

The fourth proportional to 12,155.38, 18,233.07 and 6,299.70 is: 9,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.38 : 18,233.07 = 6,299.70 : x
  2. Step 2: Convert to fraction form
    12,155.38/18,233.07 = 6,299.70/x
  3. Step 3: Cross multiply
    12,155.38x = 18,233.07 × 6,299.70
  4. Step 4: Simplify right side
    12,155.38x = 114,862,871.08
  5. Step 5: Solve for x
    x = 114,862,871.08/12,155.38
  6. Step 6: Final answer
    x = 9,449.55

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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.