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Finding the Fourth Proportional to 11,799.80, 16,178.18 and 11,589.20

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Solution

The fourth proportional to 11,799.80, 16,178.18 and 11,589.20 is: 15,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.80 : 16,178.18 = 11,589.20 : x
  2. Step 2: Convert to fraction form
    11,799.80/16,178.18 = 11,589.20/x
  3. Step 3: Cross multiply
    11,799.80x = 16,178.18 × 11,589.20
  4. Step 4: Simplify right side
    11,799.80x = 187,492,163.66
  5. Step 5: Solve for x
    x = 187,492,163.66/11,799.80
  6. Step 6: Final answer
    x = 15,889.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.