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Finding the Fourth Proportional to 12,119.40, 18,171.72 and 7,905.78

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Solution

The fourth proportional to 12,119.40, 18,171.72 and 7,905.78 is: 11,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.40 : 18,171.72 = 7,905.78 : x
  2. Step 2: Convert to fraction form
    12,119.40/18,171.72 = 7,905.78/x
  3. Step 3: Cross multiply
    12,119.40x = 18,171.72 × 7,905.78
  4. Step 4: Simplify right side
    12,119.40x = 143,661,620.54
  5. Step 5: Solve for x
    x = 143,661,620.54/12,119.40
  6. Step 6: Final answer
    x = 11,853.86

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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.