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Finding the Fourth Proportional to 13,743.49, 20,643.63 and 13,144.54

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Solution

The fourth proportional to 13,743.49, 20,643.63 and 13,144.54 is: 19,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.49 : 20,643.63 = 13,144.54 : x
  2. Step 2: Convert to fraction form
    13,743.49/20,643.63 = 13,144.54/x
  3. Step 3: Cross multiply
    13,743.49x = 20,643.63 × 13,144.54
  4. Step 4: Simplify right side
    13,743.49x = 271,351,121.18
  5. Step 5: Solve for x
    x = 271,351,121.18/13,743.49
  6. Step 6: Final answer
    x = 19,743.97

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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.