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Finding the Fourth Proportional to 13,725.60, 20,589.84 and 4,489.44

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Solution

The fourth proportional to 13,725.60, 20,589.84 and 4,489.44 is: 6,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.60 : 20,589.84 = 4,489.44 : x
  2. Step 2: Convert to fraction form
    13,725.60/20,589.84 = 4,489.44/x
  3. Step 3: Cross multiply
    13,725.60x = 20,589.84 × 4,489.44
  4. Step 4: Simplify right side
    13,725.60x = 92,436,851.29
  5. Step 5: Solve for x
    x = 92,436,851.29/13,725.60
  6. Step 6: Final answer
    x = 6,734.63

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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.