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Finding the Fourth Proportional to 13,633.26, 20,452.26 and 5,317.80

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Solution

The fourth proportional to 13,633.26, 20,452.26 and 5,317.80 is: 7,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.26 : 20,452.26 = 5,317.80 : x
  2. Step 2: Convert to fraction form
    13,633.26/20,452.26 = 5,317.80/x
  3. Step 3: Cross multiply
    13,633.26x = 20,452.26 × 5,317.80
  4. Step 4: Simplify right side
    13,633.26x = 108,761,028.23
  5. Step 5: Solve for x
    x = 108,761,028.23/13,633.26
  6. Step 6: Final answer
    x = 7,977.62

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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.