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Finding the Fourth Proportional to 25,806.72, 38,691.84 and 13,321.44

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Solution

The fourth proportional to 25,806.72, 38,691.84 and 13,321.44 is: 19,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.72 : 38,691.84 = 13,321.44 : x
  2. Step 2: Convert to fraction form
    25,806.72/38,691.84 = 13,321.44/x
  3. Step 3: Cross multiply
    25,806.72x = 38,691.84 × 13,321.44
  4. Step 4: Simplify right side
    25,806.72x = 515,431,025.05
  5. Step 5: Solve for x
    x = 515,431,025.05/25,806.72
  6. Step 6: Final answer
    x = 19,972.74

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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.