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Finding the Fourth Proportional to 18,652.08, 27,982.96 and 8,261.36

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Solution

The fourth proportional to 18,652.08, 27,982.96 and 8,261.36 is: 12,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.08 : 27,982.96 = 8,261.36 : x
  2. Step 2: Convert to fraction form
    18,652.08/27,982.96 = 8,261.36/x
  3. Step 3: Cross multiply
    18,652.08x = 27,982.96 × 8,261.36
  4. Step 4: Simplify right side
    18,652.08x = 231,177,306.43
  5. Step 5: Solve for x
    x = 231,177,306.43/18,652.08
  6. Step 6: Final answer
    x = 12,394.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.