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Finding the Fourth Proportional to 13,841.45, 20,768.24 and 7,266.09

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Solution

The fourth proportional to 13,841.45, 20,768.24 and 7,266.09 is: 10,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.45 : 20,768.24 = 7,266.09 : x
  2. Step 2: Convert to fraction form
    13,841.45/20,768.24 = 7,266.09/x
  3. Step 3: Cross multiply
    13,841.45x = 20,768.24 × 7,266.09
  4. Step 4: Simplify right side
    13,841.45x = 150,903,997.03
  5. Step 5: Solve for x
    x = 150,903,997.03/13,841.45
  6. Step 6: Final answer
    x = 10,902.33

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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.