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Finding the Fourth Proportional to 13,638.90, 20,471.31 and 7,069.80

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Solution

The fourth proportional to 13,638.90, 20,471.31 and 7,069.80 is: 10,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.90 : 20,471.31 = 7,069.80 : x
  2. Step 2: Convert to fraction form
    13,638.90/20,471.31 = 7,069.80/x
  3. Step 3: Cross multiply
    13,638.90x = 20,471.31 × 7,069.80
  4. Step 4: Simplify right side
    13,638.90x = 144,728,067.44
  5. Step 5: Solve for x
    x = 144,728,067.44/13,638.90
  6. Step 6: Final answer
    x = 10,611.42

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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.