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Finding the Fourth Proportional to 18,198.80, 27,281.96 and 7,102.91

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Solution

The fourth proportional to 18,198.80, 27,281.96 and 7,102.91 is: 10,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.80 : 27,281.96 = 7,102.91 : x
  2. Step 2: Convert to fraction form
    18,198.80/27,281.96 = 7,102.91/x
  3. Step 3: Cross multiply
    18,198.80x = 27,281.96 × 7,102.91
  4. Step 4: Simplify right side
    18,198.80x = 193,781,306.50
  5. Step 5: Solve for x
    x = 193,781,306.50/18,198.80
  6. Step 6: Final answer
    x = 10,648.03

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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.