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Finding the Fourth Proportional to 17,327, 26,002.02 and 6,383

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Solution

The fourth proportional to 17,327, 26,002.02 and 6,383 is: 9,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 26,002.02 = 6,383 : x
  2. Step 2: Convert to fraction form
    17,327/26,002.02 = 6,383/x
  3. Step 3: Cross multiply
    17,327x = 26,002.02 × 6,383
  4. Step 4: Simplify right side
    17,327x = 165,970,893.66
  5. Step 5: Solve for x
    x = 165,970,893.66/17,327
  6. Step 6: Final answer
    x = 9,578.74

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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.