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Finding the Fourth Proportional to 16,279.62, 22,458.77 and 9,553.38

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Solution

The fourth proportional to 16,279.62, 22,458.77 and 9,553.38 is: 13,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.62 : 22,458.77 = 9,553.38 : x
  2. Step 2: Convert to fraction form
    16,279.62/22,458.77 = 9,553.38/x
  3. Step 3: Cross multiply
    16,279.62x = 22,458.77 × 9,553.38
  4. Step 4: Simplify right side
    16,279.62x = 214,557,164.14
  5. Step 5: Solve for x
    x = 214,557,164.14/16,279.62
  6. Step 6: Final answer
    x = 13,179.49

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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.