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Finding the Fourth Proportional to 22,648.14, 33,978.08 and 8,608.41

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Solution

The fourth proportional to 22,648.14, 33,978.08 and 8,608.41 is: 12,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.14 : 33,978.08 = 8,608.41 : x
  2. Step 2: Convert to fraction form
    22,648.14/33,978.08 = 8,608.41/x
  3. Step 3: Cross multiply
    22,648.14x = 33,978.08 × 8,608.41
  4. Step 4: Simplify right side
    22,648.14x = 292,497,243.65
  5. Step 5: Solve for x
    x = 292,497,243.65/22,648.14
  6. Step 6: Final answer
    x = 12,914.85

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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.