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Finding the Fourth Proportional to 13,633.92, 20,451.96 and 3,638.70

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Solution

The fourth proportional to 13,633.92, 20,451.96 and 3,638.70 is: 5,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.92 : 20,451.96 = 3,638.70 : x
  2. Step 2: Convert to fraction form
    13,633.92/20,451.96 = 3,638.70/x
  3. Step 3: Cross multiply
    13,633.92x = 20,451.96 × 3,638.70
  4. Step 4: Simplify right side
    13,633.92x = 74,418,546.85
  5. Step 5: Solve for x
    x = 74,418,546.85/13,633.92
  6. Step 6: Final answer
    x = 5,458.34

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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.