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Finding the Fourth Proportional to 22,177, 30,604.30 and 12,241

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Solution

The fourth proportional to 22,177, 30,604.30 and 12,241 is: 16,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177 : 30,604.30 = 12,241 : x
  2. Step 2: Convert to fraction form
    22,177/30,604.30 = 12,241/x
  3. Step 3: Cross multiply
    22,177x = 30,604.30 × 12,241
  4. Step 4: Simplify right side
    22,177x = 374,627,236.30
  5. Step 5: Solve for x
    x = 374,627,236.30/22,177
  6. Step 6: Final answer
    x = 16,892.60

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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.