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Finding the Fourth Proportional to 12,180.12, 18,256.83 and 7,958.19

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Solution

The fourth proportional to 12,180.12, 18,256.83 and 7,958.19 is: 11,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.12 : 18,256.83 = 7,958.19 : x
  2. Step 2: Convert to fraction form
    12,180.12/18,256.83 = 7,958.19/x
  3. Step 3: Cross multiply
    12,180.12x = 18,256.83 × 7,958.19
  4. Step 4: Simplify right side
    12,180.12x = 145,291,321.94
  5. Step 5: Solve for x
    x = 145,291,321.94/12,180.12
  6. Step 6: Final answer
    x = 11,928.56

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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.