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Finding the Fourth Proportional to 20,224.35, 27,922.59 and 13,057.48

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Solution

The fourth proportional to 20,224.35, 27,922.59 and 13,057.48 is: 18,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.35 : 27,922.59 = 13,057.48 : x
  2. Step 2: Convert to fraction form
    20,224.35/27,922.59 = 13,057.48/x
  3. Step 3: Cross multiply
    20,224.35x = 27,922.59 × 13,057.48
  4. Step 4: Simplify right side
    20,224.35x = 364,598,695.38
  5. Step 5: Solve for x
    x = 364,598,695.38/20,224.35
  6. Step 6: Final answer
    x = 18,027.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.