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Finding the Fourth Proportional to 27,883.80, 41,814.72 and 11,240.73

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Solution

The fourth proportional to 27,883.80, 41,814.72 and 11,240.73 is: 16,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.80 : 41,814.72 = 11,240.73 : x
  2. Step 2: Convert to fraction form
    27,883.80/41,814.72 = 11,240.73/x
  3. Step 3: Cross multiply
    27,883.80x = 41,814.72 × 11,240.73
  4. Step 4: Simplify right side
    27,883.80x = 470,027,977.55
  5. Step 5: Solve for x
    x = 470,027,977.55/27,883.80
  6. Step 6: Final answer
    x = 16,856.67

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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.