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Finding the Fourth Proportional to 13,633.58, 20,446.40 and 5,311.73

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Solution

The fourth proportional to 13,633.58, 20,446.40 and 5,311.73 is: 7,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.58 : 20,446.40 = 5,311.73 : x
  2. Step 2: Convert to fraction form
    13,633.58/20,446.40 = 5,311.73/x
  3. Step 3: Cross multiply
    13,633.58x = 20,446.40 × 5,311.73
  4. Step 4: Simplify right side
    13,633.58x = 108,605,627.48
  5. Step 5: Solve for x
    x = 108,605,627.48/13,633.58
  6. Step 6: Final answer
    x = 7,966.04

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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.