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Finding the Fourth Proportional to 12,086.50, 16,679.42 and 7,054.20

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Solution

The fourth proportional to 12,086.50, 16,679.42 and 7,054.20 is: 9,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.50 : 16,679.42 = 7,054.20 : x
  2. Step 2: Convert to fraction form
    12,086.50/16,679.42 = 7,054.20/x
  3. Step 3: Cross multiply
    12,086.50x = 16,679.42 × 7,054.20
  4. Step 4: Simplify right side
    12,086.50x = 117,659,964.56
  5. Step 5: Solve for x
    x = 117,659,964.56/12,086.50
  6. Step 6: Final answer
    x = 9,734.83

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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.