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Finding the Fourth Proportional to 16,302, 22,496.82 and 8,850

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Solution

The fourth proportional to 16,302, 22,496.82 and 8,850 is: 12,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302 : 22,496.82 = 8,850 : x
  2. Step 2: Convert to fraction form
    16,302/22,496.82 = 8,850/x
  3. Step 3: Cross multiply
    16,302x = 22,496.82 × 8,850
  4. Step 4: Simplify right side
    16,302x = 199,096,857
  5. Step 5: Solve for x
    x = 199,096,857/16,302
  6. Step 6: Final answer
    x = 12,213.03

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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.