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Finding the Fourth Proportional to 16,092.64, 22,206 and 9,377.38

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Solution

The fourth proportional to 16,092.64, 22,206 and 9,377.38 is: 12,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.64 : 22,206 = 9,377.38 : x
  2. Step 2: Convert to fraction form
    16,092.64/22,206 = 9,377.38/x
  3. Step 3: Cross multiply
    16,092.64x = 22,206 × 9,377.38
  4. Step 4: Simplify right side
    16,092.64x = 208,234,100.28
  5. Step 5: Solve for x
    x = 208,234,100.28/16,092.64
  6. Step 6: Final answer
    x = 12,939.71

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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.