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Finding the Fourth Proportional to 27,828.46, 41,749.68 and 8,107.30

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Solution

The fourth proportional to 27,828.46, 41,749.68 and 8,107.30 is: 12,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.46 : 41,749.68 = 8,107.30 : x
  2. Step 2: Convert to fraction form
    27,828.46/41,749.68 = 8,107.30/x
  3. Step 3: Cross multiply
    27,828.46x = 41,749.68 × 8,107.30
  4. Step 4: Simplify right side
    27,828.46x = 338,477,180.66
  5. Step 5: Solve for x
    x = 338,477,180.66/27,828.46
  6. Step 6: Final answer
    x = 12,162.99

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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.