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Finding the Fourth Proportional to 13,743.50, 20,621.04 and 6,729.70

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Solution

The fourth proportional to 13,743.50, 20,621.04 and 6,729.70 is: 10,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.50 : 20,621.04 = 6,729.70 : x
  2. Step 2: Convert to fraction form
    13,743.50/20,621.04 = 6,729.70/x
  3. Step 3: Cross multiply
    13,743.50x = 20,621.04 × 6,729.70
  4. Step 4: Simplify right side
    13,743.50x = 138,773,412.89
  5. Step 5: Solve for x
    x = 138,773,412.89/13,743.50
  6. Step 6: Final answer
    x = 10,097.39

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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.