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Finding the Fourth Proportional to 27,592.02, 41,380.74 and 12,006

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Solution

The fourth proportional to 27,592.02, 41,380.74 and 12,006 is: 18,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,592.02 : 41,380.74 = 12,006 : x
  2. Step 2: Convert to fraction form
    27,592.02/41,380.74 = 12,006/x
  3. Step 3: Cross multiply
    27,592.02x = 41,380.74 × 12,006
  4. Step 4: Simplify right side
    27,592.02x = 496,817,164.44
  5. Step 5: Solve for x
    x = 496,817,164.44/27,592.02
  6. Step 6: Final answer
    x = 18,005.83

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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.