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Finding the Fourth Proportional to 12,119.90, 18,171.75 and 9,782.78

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Solution

The fourth proportional to 12,119.90, 18,171.75 and 9,782.78 is: 14,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.90 : 18,171.75 = 9,782.78 : x
  2. Step 2: Convert to fraction form
    12,119.90/18,171.75 = 9,782.78/x
  3. Step 3: Cross multiply
    12,119.90x = 18,171.75 × 9,782.78
  4. Step 4: Simplify right side
    12,119.90x = 177,770,232.47
  5. Step 5: Solve for x
    x = 177,770,232.47/12,119.90
  6. Step 6: Final answer
    x = 14,667.63

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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.