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Finding the Fourth Proportional to 13,650.66, 20,481.75 and 5,755.14

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Solution

The fourth proportional to 13,650.66, 20,481.75 and 5,755.14 is: 8,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.66 : 20,481.75 = 5,755.14 : x
  2. Step 2: Convert to fraction form
    13,650.66/20,481.75 = 5,755.14/x
  3. Step 3: Cross multiply
    13,650.66x = 20,481.75 × 5,755.14
  4. Step 4: Simplify right side
    13,650.66x = 117,875,338.70
  5. Step 5: Solve for x
    x = 117,875,338.70/13,650.66
  6. Step 6: Final answer
    x = 8,635.14

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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.