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Finding the Fourth Proportional to 12,086.80, 18,135.60 and 5,509.60

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Solution

The fourth proportional to 12,086.80, 18,135.60 and 5,509.60 is: 8,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.80 : 18,135.60 = 5,509.60 : x
  2. Step 2: Convert to fraction form
    12,086.80/18,135.60 = 5,509.60/x
  3. Step 3: Cross multiply
    12,086.80x = 18,135.60 × 5,509.60
  4. Step 4: Simplify right side
    12,086.80x = 99,919,901.76
  5. Step 5: Solve for x
    x = 99,919,901.76/12,086.80
  6. Step 6: Final answer
    x = 8,266.86

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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.