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Finding the Fourth Proportional to 11,944.87, 16,488.39 and 8,969.30

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Solution

The fourth proportional to 11,944.87, 16,488.39 and 8,969.30 is: 12,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.87 : 16,488.39 = 8,969.30 : x
  2. Step 2: Convert to fraction form
    11,944.87/16,488.39 = 8,969.30/x
  3. Step 3: Cross multiply
    11,944.87x = 16,488.39 × 8,969.30
  4. Step 4: Simplify right side
    11,944.87x = 147,889,233.99
  5. Step 5: Solve for x
    x = 147,889,233.99/11,944.87
  6. Step 6: Final answer
    x = 12,380.99

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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.