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Finding the Fourth Proportional to 11,996.40, 18,016.20 and 8,713.20

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Solution

The fourth proportional to 11,996.40, 18,016.20 and 8,713.20 is: 13,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.40 : 18,016.20 = 8,713.20 : x
  2. Step 2: Convert to fraction form
    11,996.40/18,016.20 = 8,713.20/x
  3. Step 3: Cross multiply
    11,996.40x = 18,016.20 × 8,713.20
  4. Step 4: Simplify right side
    11,996.40x = 156,978,753.84
  5. Step 5: Solve for x
    x = 156,978,753.84/11,996.40
  6. Step 6: Final answer
    x = 13,085.49

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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.