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Finding the Fourth Proportional to 13,729.56, 18,942.30 and 8,422.44

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Solution

The fourth proportional to 13,729.56, 18,942.30 and 8,422.44 is: 11,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.56 : 18,942.30 = 8,422.44 : x
  2. Step 2: Convert to fraction form
    13,729.56/18,942.30 = 8,422.44/x
  3. Step 3: Cross multiply
    13,729.56x = 18,942.30 × 8,422.44
  4. Step 4: Simplify right side
    13,729.56x = 159,540,385.21
  5. Step 5: Solve for x
    x = 159,540,385.21/13,729.56
  6. Step 6: Final answer
    x = 11,620.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.