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Finding the Fourth Proportional to 18,634.20, 27,943.20 and 6,149.40

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Solution

The fourth proportional to 18,634.20, 27,943.20 and 6,149.40 is: 9,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.20 : 27,943.20 = 6,149.40 : x
  2. Step 2: Convert to fraction form
    18,634.20/27,943.20 = 6,149.40/x
  3. Step 3: Cross multiply
    18,634.20x = 27,943.20 × 6,149.40
  4. Step 4: Simplify right side
    18,634.20x = 171,833,914.08
  5. Step 5: Solve for x
    x = 171,833,914.08/18,634.20
  6. Step 6: Final answer
    x = 9,221.43

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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.