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Finding the Fourth Proportional to 13,741.68, 20,612.88 and 3,882

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Solution

The fourth proportional to 13,741.68, 20,612.88 and 3,882 is: 5,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.68 : 20,612.88 = 3,882 : x
  2. Step 2: Convert to fraction form
    13,741.68/20,612.88 = 3,882/x
  3. Step 3: Cross multiply
    13,741.68x = 20,612.88 × 3,882
  4. Step 4: Simplify right side
    13,741.68x = 80,019,200.16
  5. Step 5: Solve for x
    x = 80,019,200.16/13,741.68
  6. Step 6: Final answer
    x = 5,823.10

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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.