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Finding the Fourth Proportional to 16,106.82, 22,227.39 and 9,033.18

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Solution

The fourth proportional to 16,106.82, 22,227.39 and 9,033.18 is: 12,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.82 : 22,227.39 = 9,033.18 : x
  2. Step 2: Convert to fraction form
    16,106.82/22,227.39 = 9,033.18/x
  3. Step 3: Cross multiply
    16,106.82x = 22,227.39 × 9,033.18
  4. Step 4: Simplify right side
    16,106.82x = 200,784,014.80
  5. Step 5: Solve for x
    x = 200,784,014.80/16,106.82
  6. Step 6: Final answer
    x = 12,465.78

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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.