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Finding the Fourth Proportional to 22,633.70, 31,238.26 and 13,202.28

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Solution

The fourth proportional to 22,633.70, 31,238.26 and 13,202.28 is: 18,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.70 : 31,238.26 = 13,202.28 : x
  2. Step 2: Convert to fraction form
    22,633.70/31,238.26 = 13,202.28/x
  3. Step 3: Cross multiply
    22,633.70x = 31,238.26 × 13,202.28
  4. Step 4: Simplify right side
    22,633.70x = 412,416,255.23
  5. Step 5: Solve for x
    x = 412,416,255.23/22,633.70
  6. Step 6: Final answer
    x = 18,221.34

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Why These Related Problems?

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