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Finding the Fourth Proportional to 16,702, 23,049.12 and 9,250

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Solution

The fourth proportional to 16,702, 23,049.12 and 9,250 is: 12,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702 : 23,049.12 = 9,250 : x
  2. Step 2: Convert to fraction form
    16,702/23,049.12 = 9,250/x
  3. Step 3: Cross multiply
    16,702x = 23,049.12 × 9,250
  4. Step 4: Simplify right side
    16,702x = 213,204,360
  5. Step 5: Solve for x
    x = 213,204,360/16,702
  6. Step 6: Final answer
    x = 12,765.20

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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.