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Finding the Fourth Proportional to 22,962.58, 34,431.89 and 8,169.34

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Solution

The fourth proportional to 22,962.58, 34,431.89 and 8,169.34 is: 12,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.58 : 34,431.89 = 8,169.34 : x
  2. Step 2: Convert to fraction form
    22,962.58/34,431.89 = 8,169.34/x
  3. Step 3: Cross multiply
    22,962.58x = 34,431.89 × 8,169.34
  4. Step 4: Simplify right side
    22,962.58x = 281,285,816.25
  5. Step 5: Solve for x
    x = 281,285,816.25/22,962.58
  6. Step 6: Final answer
    x = 12,249.75

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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.