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Finding the Fourth Proportional to 22,169, 30,593.22 and 12,233

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Solution

The fourth proportional to 22,169, 30,593.22 and 12,233 is: 16,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,169 : 30,593.22 = 12,233 : x
  2. Step 2: Convert to fraction form
    22,169/30,593.22 = 12,233/x
  3. Step 3: Cross multiply
    22,169x = 30,593.22 × 12,233
  4. Step 4: Simplify right side
    22,169x = 374,246,860.26
  5. Step 5: Solve for x
    x = 374,246,860.26/22,169
  6. Step 6: Final answer
    x = 16,881.54

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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.