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Finding the Fourth Proportional to 22,167, 33,212.90 and 13,383.46

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Solution

The fourth proportional to 22,167, 33,212.90 and 13,383.46 is: 20,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 33,212.90 = 13,383.46 : x
  2. Step 2: Convert to fraction form
    22,167/33,212.90 = 13,383.46/x
  3. Step 3: Cross multiply
    22,167x = 33,212.90 × 13,383.46
  4. Step 4: Simplify right side
    22,167x = 444,503,518.63
  5. Step 5: Solve for x
    x = 444,503,518.63/22,167
  6. Step 6: Final answer
    x = 20,052.49

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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.