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Finding the Fourth Proportional to 20,204.12, 27,881.88 and 11,819

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Solution

The fourth proportional to 20,204.12, 27,881.88 and 11,819 is: 16,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.12 : 27,881.88 = 11,819 : x
  2. Step 2: Convert to fraction form
    20,204.12/27,881.88 = 11,819/x
  3. Step 3: Cross multiply
    20,204.12x = 27,881.88 × 11,819
  4. Step 4: Simplify right side
    20,204.12x = 329,535,939.72
  5. Step 5: Solve for x
    x = 329,535,939.72/20,204.12
  6. Step 6: Final answer
    x = 16,310.33

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