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Finding the Fourth Proportional to 16,952.38, 23,394.22 and 9,500.38

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Solution

The fourth proportional to 16,952.38, 23,394.22 and 9,500.38 is: 13,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.38 : 23,394.22 = 9,500.38 : x
  2. Step 2: Convert to fraction form
    16,952.38/23,394.22 = 9,500.38/x
  3. Step 3: Cross multiply
    16,952.38x = 23,394.22 × 9,500.38
  4. Step 4: Simplify right side
    16,952.38x = 222,253,979.80
  5. Step 5: Solve for x
    x = 222,253,979.80/16,952.38
  6. Step 6: Final answer
    x = 13,110.49

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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.