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Finding the Fourth Proportional to 22,618.50, 33,942.36 and 8,767.50

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Solution

The fourth proportional to 22,618.50, 33,942.36 and 8,767.50 is: 13,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.50 : 33,942.36 = 8,767.50 : x
  2. Step 2: Convert to fraction form
    22,618.50/33,942.36 = 8,767.50/x
  3. Step 3: Cross multiply
    22,618.50x = 33,942.36 × 8,767.50
  4. Step 4: Simplify right side
    22,618.50x = 297,589,641.30
  5. Step 5: Solve for x
    x = 297,589,641.30/22,618.50
  6. Step 6: Final answer
    x = 13,156.91

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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.