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Finding the Fourth Proportional to 18,381.80, 27,584.04 and 8,519.24

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Solution

The fourth proportional to 18,381.80, 27,584.04 and 8,519.24 is: 12,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.80 : 27,584.04 = 8,519.24 : x
  2. Step 2: Convert to fraction form
    18,381.80/27,584.04 = 8,519.24/x
  3. Step 3: Cross multiply
    18,381.80x = 27,584.04 × 8,519.24
  4. Step 4: Simplify right side
    18,381.80x = 234,995,056.93
  5. Step 5: Solve for x
    x = 234,995,056.93/18,381.80
  6. Step 6: Final answer
    x = 12,784.12

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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.