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Finding the Fourth Proportional to 27,578.72, 41,374.56 and 12,000.80

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Solution

The fourth proportional to 27,578.72, 41,374.56 and 12,000.80 is: 18,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.72 : 41,374.56 = 12,000.80 : x
  2. Step 2: Convert to fraction form
    27,578.72/41,374.56 = 12,000.80/x
  3. Step 3: Cross multiply
    27,578.72x = 41,374.56 × 12,000.80
  4. Step 4: Simplify right side
    27,578.72x = 496,527,819.65
  5. Step 5: Solve for x
    x = 496,527,819.65/27,578.72
  6. Step 6: Final answer
    x = 18,004.02

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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.