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Finding the Fourth Proportional to 22,348.36, 30,843.38 and 13,400.79

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Solution

The fourth proportional to 22,348.36, 30,843.38 and 13,400.79 is: 18,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.36 : 30,843.38 = 13,400.79 : x
  2. Step 2: Convert to fraction form
    22,348.36/30,843.38 = 13,400.79/x
  3. Step 3: Cross multiply
    22,348.36x = 30,843.38 × 13,400.79
  4. Step 4: Simplify right side
    22,348.36x = 413,325,749.60
  5. Step 5: Solve for x
    x = 413,325,749.60/22,348.36
  6. Step 6: Final answer
    x = 18,494.68

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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.