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Finding the Fourth Proportional to 19,952.46, 29,919.78 and 6,798.87

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Solution

The fourth proportional to 19,952.46, 29,919.78 and 6,798.87 is: 10,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.46 : 29,919.78 = 6,798.87 : x
  2. Step 2: Convert to fraction form
    19,952.46/29,919.78 = 6,798.87/x
  3. Step 3: Cross multiply
    19,952.46x = 29,919.78 × 6,798.87
  4. Step 4: Simplify right side
    19,952.46x = 203,420,694.65
  5. Step 5: Solve for x
    x = 203,420,694.65/19,952.46
  6. Step 6: Final answer
    x = 10,195.27

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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.