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Finding the Fourth Proportional to 13,729.44, 18,948.24 and 8,422.32

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Solution

The fourth proportional to 13,729.44, 18,948.24 and 8,422.32 is: 11,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.44 : 18,948.24 = 8,422.32 : x
  2. Step 2: Convert to fraction form
    13,729.44/18,948.24 = 8,422.32/x
  3. Step 3: Cross multiply
    13,729.44x = 18,948.24 × 8,422.32
  4. Step 4: Simplify right side
    13,729.44x = 159,588,140.72
  5. Step 5: Solve for x
    x = 159,588,140.72/13,729.44
  6. Step 6: Final answer
    x = 11,623.79

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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.