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Finding the Fourth Proportional to 13,497.43, 20,227.11 and 10,163.47

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Solution

The fourth proportional to 13,497.43, 20,227.11 and 10,163.47 is: 15,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.43 : 20,227.11 = 10,163.47 : x
  2. Step 2: Convert to fraction form
    13,497.43/20,227.11 = 10,163.47/x
  3. Step 3: Cross multiply
    13,497.43x = 20,227.11 × 10,163.47
  4. Step 4: Simplify right side
    13,497.43x = 205,577,625.67
  5. Step 5: Solve for x
    x = 205,577,625.67/13,497.43
  6. Step 6: Final answer
    x = 15,230.87

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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.