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Finding the Fourth Proportional to 19,902.90, 29,843.55 and 8,217.30

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Solution

The fourth proportional to 19,902.90, 29,843.55 and 8,217.30 is: 12,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.90 : 29,843.55 = 8,217.30 : x
  2. Step 2: Convert to fraction form
    19,902.90/29,843.55 = 8,217.30/x
  3. Step 3: Cross multiply
    19,902.90x = 29,843.55 × 8,217.30
  4. Step 4: Simplify right side
    19,902.90x = 245,233,403.42
  5. Step 5: Solve for x
    x = 245,233,403.42/19,902.90
  6. Step 6: Final answer
    x = 12,321.49

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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.