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Finding the Fourth Proportional to 16,106.85, 22,227.41 and 9,033.42

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Solution

The fourth proportional to 16,106.85, 22,227.41 and 9,033.42 is: 12,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.85 : 22,227.41 = 9,033.42 : x
  2. Step 2: Convert to fraction form
    16,106.85/22,227.41 = 9,033.42/x
  3. Step 3: Cross multiply
    16,106.85x = 22,227.41 × 9,033.42
  4. Step 4: Simplify right side
    16,106.85x = 200,789,530.04
  5. Step 5: Solve for x
    x = 200,789,530.04/16,106.85
  6. Step 6: Final answer
    x = 12,466.10

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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.