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Finding the Fourth Proportional to 22,422.50, 33,629.16 and 8,379.94

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Solution

The fourth proportional to 22,422.50, 33,629.16 and 8,379.94 is: 12,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.50 : 33,629.16 = 8,379.94 : x
  2. Step 2: Convert to fraction form
    22,422.50/33,629.16 = 8,379.94/x
  3. Step 3: Cross multiply
    22,422.50x = 33,629.16 × 8,379.94
  4. Step 4: Simplify right side
    22,422.50x = 281,810,174.90
  5. Step 5: Solve for x
    x = 281,810,174.90/22,422.50
  6. Step 6: Final answer
    x = 12,568.19

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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.