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Finding the Fourth Proportional to 18,529.34, 27,794.46 and 5,381.82

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Solution

The fourth proportional to 18,529.34, 27,794.46 and 5,381.82 is: 8,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.34 : 27,794.46 = 5,381.82 : x
  2. Step 2: Convert to fraction form
    18,529.34/27,794.46 = 5,381.82/x
  3. Step 3: Cross multiply
    18,529.34x = 27,794.46 × 5,381.82
  4. Step 4: Simplify right side
    18,529.34x = 149,584,780.72
  5. Step 5: Solve for x
    x = 149,584,780.72/18,529.34
  6. Step 6: Final answer
    x = 8,072.86

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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.