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Finding the Fourth Proportional to 27,845.40, 41,764.05 and 8,121.90

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Solution

The fourth proportional to 27,845.40, 41,764.05 and 8,121.90 is: 12,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.40 : 41,764.05 = 8,121.90 : x
  2. Step 2: Convert to fraction form
    27,845.40/41,764.05 = 8,121.90/x
  3. Step 3: Cross multiply
    27,845.40x = 41,764.05 × 8,121.90
  4. Step 4: Simplify right side
    27,845.40x = 339,203,437.70
  5. Step 5: Solve for x
    x = 339,203,437.70/27,845.40
  6. Step 6: Final answer
    x = 12,181.67

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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.