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Finding the Fourth Proportional to 16,097.82, 22,213.79 and 9,022.88

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Solution

The fourth proportional to 16,097.82, 22,213.79 and 9,022.88 is: 12,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.82 : 22,213.79 = 9,022.88 : x
  2. Step 2: Convert to fraction form
    16,097.82/22,213.79 = 9,022.88/x
  3. Step 3: Cross multiply
    16,097.82x = 22,213.79 × 9,022.88
  4. Step 4: Simplify right side
    16,097.82x = 200,432,205.33
  5. Step 5: Solve for x
    x = 200,432,205.33/16,097.82
  6. Step 6: Final answer
    x = 12,450.89

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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.