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Finding the Fourth Proportional to 13,633.38, 20,446.11 and 5,311.53

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Solution

The fourth proportional to 13,633.38, 20,446.11 and 5,311.53 is: 7,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.38 : 20,446.11 = 5,311.53 : x
  2. Step 2: Convert to fraction form
    13,633.38/20,446.11 = 5,311.53/x
  3. Step 3: Cross multiply
    13,633.38x = 20,446.11 × 5,311.53
  4. Step 4: Simplify right side
    13,633.38x = 108,600,126.65
  5. Step 5: Solve for x
    x = 108,600,126.65/13,633.38
  6. Step 6: Final answer
    x = 7,965.75

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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.