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Finding the Fourth Proportional to 13,843.34, 20,764.29 and 3,982.23

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Solution

The fourth proportional to 13,843.34, 20,764.29 and 3,982.23 is: 5,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.34 : 20,764.29 = 3,982.23 : x
  2. Step 2: Convert to fraction form
    13,843.34/20,764.29 = 3,982.23/x
  3. Step 3: Cross multiply
    13,843.34x = 20,764.29 × 3,982.23
  4. Step 4: Simplify right side
    13,843.34x = 82,688,241.50
  5. Step 5: Solve for x
    x = 82,688,241.50/13,843.34
  6. Step 6: Final answer
    x = 5,973.14

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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.