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Finding the Fourth Proportional to 27,213.57, 40,819.23 and 7,491.60

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Solution

The fourth proportional to 27,213.57, 40,819.23 and 7,491.60 is: 11,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.57 : 40,819.23 = 7,491.60 : x
  2. Step 2: Convert to fraction form
    27,213.57/40,819.23 = 7,491.60/x
  3. Step 3: Cross multiply
    27,213.57x = 40,819.23 × 7,491.60
  4. Step 4: Simplify right side
    27,213.57x = 305,801,343.47
  5. Step 5: Solve for x
    x = 305,801,343.47/27,213.57
  6. Step 6: Final answer
    x = 11,237.09

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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.