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Finding the Fourth Proportional to 12,993.75, 19,491.84 and 4,226.31

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Solution

The fourth proportional to 12,993.75, 19,491.84 and 4,226.31 is: 6,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.75 : 19,491.84 = 4,226.31 : x
  2. Step 2: Convert to fraction form
    12,993.75/19,491.84 = 4,226.31/x
  3. Step 3: Cross multiply
    12,993.75x = 19,491.84 × 4,226.31
  4. Step 4: Simplify right side
    12,993.75x = 82,378,558.31
  5. Step 5: Solve for x
    x = 82,378,558.31/12,993.75
  6. Step 6: Final answer
    x = 6,339.86

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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.