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Finding the Fourth Proportional to 19,846.43, 29,781.33 and 8,005.85

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Solution

The fourth proportional to 19,846.43, 29,781.33 and 8,005.85 is: 12,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.43 : 29,781.33 = 8,005.85 : x
  2. Step 2: Convert to fraction form
    19,846.43/29,781.33 = 8,005.85/x
  3. Step 3: Cross multiply
    19,846.43x = 29,781.33 × 8,005.85
  4. Step 4: Simplify right side
    19,846.43x = 238,424,860.78
  5. Step 5: Solve for x
    x = 238,424,860.78/19,846.43
  6. Step 6: Final answer
    x = 12,013.49

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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.