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Finding the Fourth Proportional to 19,768.50, 29,652.78 and 8,081.70

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Solution

The fourth proportional to 19,768.50, 29,652.78 and 8,081.70 is: 12,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.50 : 29,652.78 = 8,081.70 : x
  2. Step 2: Convert to fraction form
    19,768.50/29,652.78 = 8,081.70/x
  3. Step 3: Cross multiply
    19,768.50x = 29,652.78 × 8,081.70
  4. Step 4: Simplify right side
    19,768.50x = 239,644,872.13
  5. Step 5: Solve for x
    x = 239,644,872.13/19,768.50
  6. Step 6: Final answer
    x = 12,122.56

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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.