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Finding the Fourth Proportional to 13,734.32, 20,602.30 and 3,874.44

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Solution

The fourth proportional to 13,734.32, 20,602.30 and 3,874.44 is: 5,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.32 : 20,602.30 = 3,874.44 : x
  2. Step 2: Convert to fraction form
    13,734.32/20,602.30 = 3,874.44/x
  3. Step 3: Cross multiply
    13,734.32x = 20,602.30 × 3,874.44
  4. Step 4: Simplify right side
    13,734.32x = 79,822,375.21
  5. Step 5: Solve for x
    x = 79,822,375.21/13,734.32
  6. Step 6: Final answer
    x = 5,811.89

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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.