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Finding the Fourth Proportional to 16,238.78, 22,406.29 and 9,163.83

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Solution

The fourth proportional to 16,238.78, 22,406.29 and 9,163.83 is: 12,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.78 : 22,406.29 = 9,163.83 : x
  2. Step 2: Convert to fraction form
    16,238.78/22,406.29 = 9,163.83/x
  3. Step 3: Cross multiply
    16,238.78x = 22,406.29 × 9,163.83
  4. Step 4: Simplify right side
    16,238.78x = 205,327,493.60
  5. Step 5: Solve for x
    x = 205,327,493.60/16,238.78
  6. Step 6: Final answer
    x = 12,644.27

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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.