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Finding the Fourth Proportional to 13,198.35, 19,797.74 and 4,433.34

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Solution

The fourth proportional to 13,198.35, 19,797.74 and 4,433.34 is: 6,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.35 : 19,797.74 = 4,433.34 : x
  2. Step 2: Convert to fraction form
    13,198.35/19,797.74 = 4,433.34/x
  3. Step 3: Cross multiply
    13,198.35x = 19,797.74 × 4,433.34
  4. Step 4: Simplify right side
    13,198.35x = 87,770,112.65
  5. Step 5: Solve for x
    x = 87,770,112.65/13,198.35
  6. Step 6: Final answer
    x = 6,650.08

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Why These Related Problems?

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