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Finding the Fourth Proportional to 13,652.49, 20,469.69 and 5,333.30

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Solution

The fourth proportional to 13,652.49, 20,469.69 and 5,333.30 is: 7,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.49 : 20,469.69 = 5,333.30 : x
  2. Step 2: Convert to fraction form
    13,652.49/20,469.69 = 5,333.30/x
  3. Step 3: Cross multiply
    13,652.49x = 20,469.69 × 5,333.30
  4. Step 4: Simplify right side
    13,652.49x = 109,170,997.68
  5. Step 5: Solve for x
    x = 109,170,997.68/13,652.49
  6. Step 6: Final answer
    x = 7,996.42

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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.