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Finding the Fourth Proportional to 22,833.78, 34,249.49 and 8,042.80

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Solution

The fourth proportional to 22,833.78, 34,249.49 and 8,042.80 is: 12,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.78 : 34,249.49 = 8,042.80 : x
  2. Step 2: Convert to fraction form
    22,833.78/34,249.49 = 8,042.80/x
  3. Step 3: Cross multiply
    22,833.78x = 34,249.49 × 8,042.80
  4. Step 4: Simplify right side
    22,833.78x = 275,461,798.17
  5. Step 5: Solve for x
    x = 275,461,798.17/22,833.78
  6. Step 6: Final answer
    x = 12,063.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.