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Finding the Fourth Proportional to 13,829.23, 20,744.00 and 3,968.49

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Solution

The fourth proportional to 13,829.23, 20,744.00 and 3,968.49 is: 5,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.23 : 20,744.00 = 3,968.49 : x
  2. Step 2: Convert to fraction form
    13,829.23/20,744.00 = 3,968.49/x
  3. Step 3: Cross multiply
    13,829.23x = 20,744.00 × 3,968.49
  4. Step 4: Simplify right side
    13,829.23x = 82,322,429.39
  5. Step 5: Solve for x
    x = 82,322,429.39/13,829.23
  6. Step 6: Final answer
    x = 5,952.78

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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.