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Finding the Fourth Proportional to 13,840.68, 20,745.54 and 7,267.56

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Solution

The fourth proportional to 13,840.68, 20,745.54 and 7,267.56 is: 10,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.68 : 20,745.54 = 7,267.56 : x
  2. Step 2: Convert to fraction form
    13,840.68/20,745.54 = 7,267.56/x
  3. Step 3: Cross multiply
    13,840.68x = 20,745.54 × 7,267.56
  4. Step 4: Simplify right side
    13,840.68x = 150,769,456.68
  5. Step 5: Solve for x
    x = 150,769,456.68/13,840.68
  6. Step 6: Final answer
    x = 10,893.21

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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.