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Finding the Fourth Proportional to 16,289.88, 24,436.19 and 5,198.14

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Solution

The fourth proportional to 16,289.88, 24,436.19 and 5,198.14 is: 7,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.88 : 24,436.19 = 5,198.14 : x
  2. Step 2: Convert to fraction form
    16,289.88/24,436.19 = 5,198.14/x
  3. Step 3: Cross multiply
    16,289.88x = 24,436.19 × 5,198.14
  4. Step 4: Simplify right side
    16,289.88x = 127,022,736.69
  5. Step 5: Solve for x
    x = 127,022,736.69/16,289.88
  6. Step 6: Final answer
    x = 7,797.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.