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Finding the Fourth Proportional to 13,828.80, 20,743.20 and 3,968.40

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Solution

The fourth proportional to 13,828.80, 20,743.20 and 3,968.40 is: 5,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.80 : 20,743.20 = 3,968.40 : x
  2. Step 2: Convert to fraction form
    13,828.80/20,743.20 = 3,968.40/x
  3. Step 3: Cross multiply
    13,828.80x = 20,743.20 × 3,968.40
  4. Step 4: Simplify right side
    13,828.80x = 82,317,314.88
  5. Step 5: Solve for x
    x = 82,317,314.88/13,828.80
  6. Step 6: Final answer
    x = 5,952.60

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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.