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Finding the Fourth Proportional to 27,826.80, 41,716.80 and 13,027.92

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Solution

The fourth proportional to 27,826.80, 41,716.80 and 13,027.92 is: 19,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.80 : 41,716.80 = 13,027.92 : x
  2. Step 2: Convert to fraction form
    27,826.80/41,716.80 = 13,027.92/x
  3. Step 3: Cross multiply
    27,826.80x = 41,716.80 × 13,027.92
  4. Step 4: Simplify right side
    27,826.80x = 543,483,133.06
  5. Step 5: Solve for x
    x = 543,483,133.06/27,826.80
  6. Step 6: Final answer
    x = 19,530.92

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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.