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Finding the Fourth Proportional to 12,286.01, 16,961.13 and 8,273.93

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Solution

The fourth proportional to 12,286.01, 16,961.13 and 8,273.93 is: 11,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.01 : 16,961.13 = 8,273.93 : x
  2. Step 2: Convert to fraction form
    12,286.01/16,961.13 = 8,273.93/x
  3. Step 3: Cross multiply
    12,286.01x = 16,961.13 × 8,273.93
  4. Step 4: Simplify right side
    12,286.01x = 140,335,117.54
  5. Step 5: Solve for x
    x = 140,335,117.54/12,286.01
  6. Step 6: Final answer
    x = 11,422.35

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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.