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Finding the Fourth Proportional to 27,992, 41,988 and 9,524

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Solution

The fourth proportional to 27,992, 41,988 and 9,524 is: 14,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 41,988 = 9,524 : x
  2. Step 2: Convert to fraction form
    27,992/41,988 = 9,524/x
  3. Step 3: Cross multiply
    27,992x = 41,988 × 9,524
  4. Step 4: Simplify right side
    27,992x = 399,893,712
  5. Step 5: Solve for x
    x = 399,893,712/27,992
  6. Step 6: Final answer
    x = 14,286

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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.