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Finding the Fourth Proportional to 27,664.70, 41,436.09 and 22,866.38

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Solution

The fourth proportional to 27,664.70, 41,436.09 and 22,866.38 is: 34,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664.70 : 41,436.09 = 22,866.38 : x
  2. Step 2: Convert to fraction form
    27,664.70/41,436.09 = 22,866.38/x
  3. Step 3: Cross multiply
    27,664.70x = 41,436.09 × 22,866.38
  4. Step 4: Simplify right side
    27,664.70x = 947,493,379.65
  5. Step 5: Solve for x
    x = 947,493,379.65/27,664.70
  6. Step 6: Final answer
    x = 34,249.18

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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.