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Finding the Fourth Proportional to 16,107.35, 22,228.10 and 9,033.93

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Solution

The fourth proportional to 16,107.35, 22,228.10 and 9,033.93 is: 12,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.35 : 22,228.10 = 9,033.93 : x
  2. Step 2: Convert to fraction form
    16,107.35/22,228.10 = 9,033.93/x
  3. Step 3: Cross multiply
    16,107.35x = 22,228.10 × 9,033.93
  4. Step 4: Simplify right side
    16,107.35x = 200,806,988.29
  5. Step 5: Solve for x
    x = 200,806,988.29/16,107.35
  6. Step 6: Final answer
    x = 12,466.79

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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.