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Finding the Fourth Proportional to 27,998, 41,997 and 11,582

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Solution

The fourth proportional to 27,998, 41,997 and 11,582 is: 17,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998 : 41,997 = 11,582 : x
  2. Step 2: Convert to fraction form
    27,998/41,997 = 11,582/x
  3. Step 3: Cross multiply
    27,998x = 41,997 × 11,582
  4. Step 4: Simplify right side
    27,998x = 486,409,254
  5. Step 5: Solve for x
    x = 486,409,254/27,998
  6. Step 6: Final answer
    x = 17,373

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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.