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Finding the Fourth Proportional to 16,850, 23,253 and 9,398

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Solution

The fourth proportional to 16,850, 23,253 and 9,398 is: 12,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 23,253 = 9,398 : x
  2. Step 2: Convert to fraction form
    16,850/23,253 = 9,398/x
  3. Step 3: Cross multiply
    16,850x = 23,253 × 9,398
  4. Step 4: Simplify right side
    16,850x = 218,531,694
  5. Step 5: Solve for x
    x = 218,531,694/16,850
  6. Step 6: Final answer
    x = 12,969.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.