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Finding the Fourth Proportional to 18,193, 27,298.14 and 5,881

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Solution

The fourth proportional to 18,193, 27,298.14 and 5,881 is: 8,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193 : 27,298.14 = 5,881 : x
  2. Step 2: Convert to fraction form
    18,193/27,298.14 = 5,881/x
  3. Step 3: Cross multiply
    18,193x = 27,298.14 × 5,881
  4. Step 4: Simplify right side
    18,193x = 160,540,361.34
  5. Step 5: Solve for x
    x = 160,540,361.34/18,193
  6. Step 6: Final answer
    x = 8,824.29

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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.