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Finding the Fourth Proportional to 13,843.29, 20,764.22 and 3,982.19

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Solution

The fourth proportional to 13,843.29, 20,764.22 and 3,982.19 is: 5,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.29 : 20,764.22 = 3,982.19 : x
  2. Step 2: Convert to fraction form
    13,843.29/20,764.22 = 3,982.19/x
  3. Step 3: Cross multiply
    13,843.29x = 20,764.22 × 3,982.19
  4. Step 4: Simplify right side
    13,843.29x = 82,686,945.51
  5. Step 5: Solve for x
    x = 82,686,945.51/13,843.29
  6. Step 6: Final answer
    x = 5,973.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.