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Finding the Fourth Proportional to 12,844.12, 17,717.25 and 8,120.20

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Solution

The fourth proportional to 12,844.12, 17,717.25 and 8,120.20 is: 11,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.12 : 17,717.25 = 8,120.20 : x
  2. Step 2: Convert to fraction form
    12,844.12/17,717.25 = 8,120.20/x
  3. Step 3: Cross multiply
    12,844.12x = 17,717.25 × 8,120.20
  4. Step 4: Simplify right side
    12,844.12x = 143,867,613.45
  5. Step 5: Solve for x
    x = 143,867,613.45/12,844.12
  6. Step 6: Final answer
    x = 11,201.05

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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.