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Finding the Fourth Proportional to 12,006.14, 18,010.20 and 3,241.52

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Solution

The fourth proportional to 12,006.14, 18,010.20 and 3,241.52 is: 4,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.14 : 18,010.20 = 3,241.52 : x
  2. Step 2: Convert to fraction form
    12,006.14/18,010.20 = 3,241.52/x
  3. Step 3: Cross multiply
    12,006.14x = 18,010.20 × 3,241.52
  4. Step 4: Simplify right side
    12,006.14x = 58,380,423.50
  5. Step 5: Solve for x
    x = 58,380,423.50/12,006.14
  6. Step 6: Final answer
    x = 4,862.55

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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.