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Finding the Fourth Proportional to 27,896.04, 41,850.18 and 13,105.08

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Solution

The fourth proportional to 27,896.04, 41,850.18 and 13,105.08 is: 19,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.04 : 41,850.18 = 13,105.08 : x
  2. Step 2: Convert to fraction form
    27,896.04/41,850.18 = 13,105.08/x
  3. Step 3: Cross multiply
    27,896.04x = 41,850.18 × 13,105.08
  4. Step 4: Simplify right side
    27,896.04x = 548,449,956.91
  5. Step 5: Solve for x
    x = 548,449,956.91/27,896.04
  6. Step 6: Final answer
    x = 19,660.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.