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Finding the Fourth Proportional to 13,496.01, 20,241.72 and 3,633.09

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Solution

The fourth proportional to 13,496.01, 20,241.72 and 3,633.09 is: 5,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.01 : 20,241.72 = 3,633.09 : x
  2. Step 2: Convert to fraction form
    13,496.01/20,241.72 = 3,633.09/x
  3. Step 3: Cross multiply
    13,496.01x = 20,241.72 × 3,633.09
  4. Step 4: Simplify right side
    13,496.01x = 73,539,972.35
  5. Step 5: Solve for x
    x = 73,539,972.35/13,496.01
  6. Step 6: Final answer
    x = 5,449.02

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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.