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Finding the Fourth Proportional to 27,996, 41,994 and 11,580

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Solution

The fourth proportional to 27,996, 41,994 and 11,580 is: 17,370

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996 : 41,994 = 11,580 : x
  2. Step 2: Convert to fraction form
    27,996/41,994 = 11,580/x
  3. Step 3: Cross multiply
    27,996x = 41,994 × 11,580
  4. Step 4: Simplify right side
    27,996x = 486,290,520
  5. Step 5: Solve for x
    x = 486,290,520/27,996
  6. Step 6: Final answer
    x = 17,370

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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.