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Finding the Fourth Proportional to 19,793.01, 29,689.22 and 7,949.82

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Solution

The fourth proportional to 19,793.01, 29,689.22 and 7,949.82 is: 11,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.01 : 29,689.22 = 7,949.82 : x
  2. Step 2: Convert to fraction form
    19,793.01/29,689.22 = 7,949.82/x
  3. Step 3: Cross multiply
    19,793.01x = 29,689.22 × 7,949.82
  4. Step 4: Simplify right side
    19,793.01x = 236,023,915.19
  5. Step 5: Solve for x
    x = 236,023,915.19/19,793.01
  6. Step 6: Final answer
    x = 11,924.61

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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.