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Finding the Fourth Proportional to 12,286.22, 16,950.93 and 7,180.61

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Solution

The fourth proportional to 12,286.22, 16,950.93 and 7,180.61 is: 9,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.22 : 16,950.93 = 7,180.61 : x
  2. Step 2: Convert to fraction form
    12,286.22/16,950.93 = 7,180.61/x
  3. Step 3: Cross multiply
    12,286.22x = 16,950.93 × 7,180.61
  4. Step 4: Simplify right side
    12,286.22x = 121,718,017.47
  5. Step 5: Solve for x
    x = 121,718,017.47/12,286.22
  6. Step 6: Final answer
    x = 9,906.87

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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.