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Finding the Fourth Proportional to 13,743.20, 20,592.80 and 13,378.72

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Solution

The fourth proportional to 13,743.20, 20,592.80 and 13,378.72 is: 20,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.20 : 20,592.80 = 13,378.72 : x
  2. Step 2: Convert to fraction form
    13,743.20/20,592.80 = 13,378.72/x
  3. Step 3: Cross multiply
    13,743.20x = 20,592.80 × 13,378.72
  4. Step 4: Simplify right side
    13,743.20x = 275,505,305.22
  5. Step 5: Solve for x
    x = 275,505,305.22/13,743.20
  6. Step 6: Final answer
    x = 20,046.66

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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.