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Finding the Fourth Proportional to 13,635.25, 20,422.90 and 11,268.43

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Solution

The fourth proportional to 13,635.25, 20,422.90 and 11,268.43 is: 16,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.25 : 20,422.90 = 11,268.43 : x
  2. Step 2: Convert to fraction form
    13,635.25/20,422.90 = 11,268.43/x
  3. Step 3: Cross multiply
    13,635.25x = 20,422.90 × 11,268.43
  4. Step 4: Simplify right side
    13,635.25x = 230,134,019.05
  5. Step 5: Solve for x
    x = 230,134,019.05/13,635.25
  6. Step 6: Final answer
    x = 16,877.87

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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.