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Finding the Fourth Proportional to 12,086.31, 18,129.74 and 6,881.25

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Solution

The fourth proportional to 12,086.31, 18,129.74 and 6,881.25 is: 10,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.31 : 18,129.74 = 6,881.25 : x
  2. Step 2: Convert to fraction form
    12,086.31/18,129.74 = 6,881.25/x
  3. Step 3: Cross multiply
    12,086.31x = 18,129.74 × 6,881.25
  4. Step 4: Simplify right side
    12,086.31x = 124,755,238.97
  5. Step 5: Solve for x
    x = 124,755,238.97/12,086.31
  6. Step 6: Final answer
    x = 10,322.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.