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Finding the Fourth Proportional to 16,069.87, 22,175.76 and 8,996.14

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Solution

The fourth proportional to 16,069.87, 22,175.76 and 8,996.14 is: 12,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.87 : 22,175.76 = 8,996.14 : x
  2. Step 2: Convert to fraction form
    16,069.87/22,175.76 = 8,996.14/x
  3. Step 3: Cross multiply
    16,069.87x = 22,175.76 × 8,996.14
  4. Step 4: Simplify right side
    16,069.87x = 199,496,241.57
  5. Step 5: Solve for x
    x = 199,496,241.57/16,069.87
  6. Step 6: Final answer
    x = 12,414.30

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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.