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Finding the Fourth Proportional to 13,841.96, 20,766.18 and 5,081

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Solution

The fourth proportional to 13,841.96, 20,766.18 and 5,081 is: 7,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.96 : 20,766.18 = 5,081 : x
  2. Step 2: Convert to fraction form
    13,841.96/20,766.18 = 5,081/x
  3. Step 3: Cross multiply
    13,841.96x = 20,766.18 × 5,081
  4. Step 4: Simplify right side
    13,841.96x = 105,512,960.58
  5. Step 5: Solve for x
    x = 105,512,960.58/13,841.96
  6. Step 6: Final answer
    x = 7,622.69

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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.