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Finding the Fourth Proportional to 18,454.42, 27,684.06 and 6,766.12

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Solution

The fourth proportional to 18,454.42, 27,684.06 and 6,766.12 is: 10,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454.42 : 27,684.06 = 6,766.12 : x
  2. Step 2: Convert to fraction form
    18,454.42/27,684.06 = 6,766.12/x
  3. Step 3: Cross multiply
    18,454.42x = 27,684.06 × 6,766.12
  4. Step 4: Simplify right side
    18,454.42x = 187,313,672.05
  5. Step 5: Solve for x
    x = 187,313,672.05/18,454.42
  6. Step 6: Final answer
    x = 10,150.07

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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.