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Finding the Fourth Proportional to 13,674.67, 20,512.46 and 3,813.12

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Solution

The fourth proportional to 13,674.67, 20,512.46 and 3,813.12 is: 5,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.67 : 20,512.46 = 3,813.12 : x
  2. Step 2: Convert to fraction form
    13,674.67/20,512.46 = 3,813.12/x
  3. Step 3: Cross multiply
    13,674.67x = 20,512.46 × 3,813.12
  4. Step 4: Simplify right side
    13,674.67x = 78,216,471.48
  5. Step 5: Solve for x
    x = 78,216,471.48/13,674.67
  6. Step 6: Final answer
    x = 5,719.81

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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.