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Finding the Fourth Proportional to 20,163.98, 27,829.95 and 11,665.10

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Solution

The fourth proportional to 20,163.98, 27,829.95 and 11,665.10 is: 16,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.98 : 27,829.95 = 11,665.10 : x
  2. Step 2: Convert to fraction form
    20,163.98/27,829.95 = 11,665.10/x
  3. Step 3: Cross multiply
    20,163.98x = 27,829.95 × 11,665.10
  4. Step 4: Simplify right side
    20,163.98x = 324,639,149.75
  5. Step 5: Solve for x
    x = 324,639,149.75/20,163.98
  6. Step 6: Final answer
    x = 16,099.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.