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Finding the Fourth Proportional to 18,381.96, 27,568.80 and 5,234.04

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Solution

The fourth proportional to 18,381.96, 27,568.80 and 5,234.04 is: 7,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.96 : 27,568.80 = 5,234.04 : x
  2. Step 2: Convert to fraction form
    18,381.96/27,568.80 = 5,234.04/x
  3. Step 3: Cross multiply
    18,381.96x = 27,568.80 × 5,234.04
  4. Step 4: Simplify right side
    18,381.96x = 144,296,201.95
  5. Step 5: Solve for x
    x = 144,296,201.95/18,381.96
  6. Step 6: Final answer
    x = 7,849.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.