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Finding the Fourth Proportional to 16,214, 22,375.32 and 8,762

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Solution

The fourth proportional to 16,214, 22,375.32 and 8,762 is: 12,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214 : 22,375.32 = 8,762 : x
  2. Step 2: Convert to fraction form
    16,214/22,375.32 = 8,762/x
  3. Step 3: Cross multiply
    16,214x = 22,375.32 × 8,762
  4. Step 4: Simplify right side
    16,214x = 196,052,553.84
  5. Step 5: Solve for x
    x = 196,052,553.84/16,214
  6. Step 6: Final answer
    x = 12,091.56

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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.