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Finding the Fourth Proportional to 18,228, 27,342 and 5,916

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Solution

The fourth proportional to 18,228, 27,342 and 5,916 is: 8,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228 : 27,342 = 5,916 : x
  2. Step 2: Convert to fraction form
    18,228/27,342 = 5,916/x
  3. Step 3: Cross multiply
    18,228x = 27,342 × 5,916
  4. Step 4: Simplify right side
    18,228x = 161,755,272
  5. Step 5: Solve for x
    x = 161,755,272/18,228
  6. Step 6: Final answer
    x = 8,874

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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.