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Finding the Fourth Proportional to 12,499.60, 18,727.80 and 8,114.80

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Solution

The fourth proportional to 12,499.60, 18,727.80 and 8,114.80 is: 12,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.60 : 18,727.80 = 8,114.80 : x
  2. Step 2: Convert to fraction form
    12,499.60/18,727.80 = 8,114.80/x
  3. Step 3: Cross multiply
    12,499.60x = 18,727.80 × 8,114.80
  4. Step 4: Simplify right side
    12,499.60x = 151,972,351.44
  5. Step 5: Solve for x
    x = 151,972,351.44/12,499.60
  6. Step 6: Final answer
    x = 12,158.18

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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.