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Finding the Fourth Proportional to 12,086.88, 18,135.48 and 6,825.84

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Solution

The fourth proportional to 12,086.88, 18,135.48 and 6,825.84 is: 10,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.88 : 18,135.48 = 6,825.84 : x
  2. Step 2: Convert to fraction form
    12,086.88/18,135.48 = 6,825.84/x
  3. Step 3: Cross multiply
    12,086.88x = 18,135.48 × 6,825.84
  4. Step 4: Simplify right side
    12,086.88x = 123,789,884.80
  5. Step 5: Solve for x
    x = 123,789,884.80/12,086.88
  6. Step 6: Final answer
    x = 10,241.67

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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.