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Finding the Fourth Proportional to 13,841.78, 20,765.97 and 4,481.81

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Solution

The fourth proportional to 13,841.78, 20,765.97 and 4,481.81 is: 6,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.78 : 20,765.97 = 4,481.81 : x
  2. Step 2: Convert to fraction form
    13,841.78/20,765.97 = 4,481.81/x
  3. Step 3: Cross multiply
    13,841.78x = 20,765.97 × 4,481.81
  4. Step 4: Simplify right side
    13,841.78x = 93,069,066.55
  5. Step 5: Solve for x
    x = 93,069,066.55/13,841.78
  6. Step 6: Final answer
    x = 6,723.78

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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.