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Finding the Fourth Proportional to 13,523.31, 20,314.22 and 11,447.46

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Solution

The fourth proportional to 13,523.31, 20,314.22 and 11,447.46 is: 17,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.31 : 20,314.22 = 11,447.46 : x
  2. Step 2: Convert to fraction form
    13,523.31/20,314.22 = 11,447.46/x
  3. Step 3: Cross multiply
    13,523.31x = 20,314.22 × 11,447.46
  4. Step 4: Simplify right side
    13,523.31x = 232,546,163.64
  5. Step 5: Solve for x
    x = 232,546,163.64/13,523.31
  6. Step 6: Final answer
    x = 17,195.95

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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.