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Finding the Fourth Proportional to 12,251, 16,906.52 and 6,662

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Solution

The fourth proportional to 12,251, 16,906.52 and 6,662 is: 9,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251 : 16,906.52 = 6,662 : x
  2. Step 2: Convert to fraction form
    12,251/16,906.52 = 6,662/x
  3. Step 3: Cross multiply
    12,251x = 16,906.52 × 6,662
  4. Step 4: Simplify right side
    12,251x = 112,631,236.24
  5. Step 5: Solve for x
    x = 112,631,236.24/12,251
  6. Step 6: Final answer
    x = 9,193.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.