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Finding the Fourth Proportional to 11,485.20, 17,227.80 and 8,180.40

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Solution

The fourth proportional to 11,485.20, 17,227.80 and 8,180.40 is: 12,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.20 : 17,227.80 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    11,485.20/17,227.80 = 8,180.40/x
  3. Step 3: Cross multiply
    11,485.20x = 17,227.80 × 8,180.40
  4. Step 4: Simplify right side
    11,485.20x = 140,930,295.12
  5. Step 5: Solve for x
    x = 140,930,295.12/11,485.20
  6. Step 6: Final answer
    x = 12,270.60

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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.