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Finding the Fourth Proportional to 22,640.72, 31,247.91 and 13,209.26

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Solution

The fourth proportional to 22,640.72, 31,247.91 and 13,209.26 is: 18,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.72 : 31,247.91 = 13,209.26 : x
  2. Step 2: Convert to fraction form
    22,640.72/31,247.91 = 13,209.26/x
  3. Step 3: Cross multiply
    22,640.72x = 31,247.91 × 13,209.26
  4. Step 4: Simplify right side
    22,640.72x = 412,761,611.41
  5. Step 5: Solve for x
    x = 412,761,611.41/22,640.72
  6. Step 6: Final answer
    x = 18,230.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.