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Finding the Fourth Proportional to 16,107.17, 22,227.87 and 9,033.53

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Solution

The fourth proportional to 16,107.17, 22,227.87 and 9,033.53 is: 12,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.17 : 22,227.87 = 9,033.53 : x
  2. Step 2: Convert to fraction form
    16,107.17/22,227.87 = 9,033.53/x
  3. Step 3: Cross multiply
    16,107.17x = 22,227.87 × 9,033.53
  4. Step 4: Simplify right side
    16,107.17x = 200,795,974.17
  5. Step 5: Solve for x
    x = 200,795,974.17/16,107.17
  6. Step 6: Final answer
    x = 12,466.25

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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.