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Finding the Fourth Proportional to 13,814.40, 20,743.20 and 7,982.40

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Solution

The fourth proportional to 13,814.40, 20,743.20 and 7,982.40 is: 11,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.40 : 20,743.20 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    13,814.40/20,743.20 = 7,982.40/x
  3. Step 3: Cross multiply
    13,814.40x = 20,743.20 × 7,982.40
  4. Step 4: Simplify right side
    13,814.40x = 165,580,519.68
  5. Step 5: Solve for x
    x = 165,580,519.68/13,814.40
  6. Step 6: Final answer
    x = 11,986.08

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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.