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Finding the Fourth Proportional to 20,212.38, 27,892.08 and 11,260.80

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Solution

The fourth proportional to 20,212.38, 27,892.08 and 11,260.80 is: 15,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.38 : 27,892.08 = 11,260.80 : x
  2. Step 2: Convert to fraction form
    20,212.38/27,892.08 = 11,260.80/x
  3. Step 3: Cross multiply
    20,212.38x = 27,892.08 × 11,260.80
  4. Step 4: Simplify right side
    20,212.38x = 314,087,134.46
  5. Step 5: Solve for x
    x = 314,087,134.46/20,212.38
  6. Step 6: Final answer
    x = 15,539.34

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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.