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Finding the Fourth Proportional to 20,199, 27,876.78 and 11,822.52

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Solution

The fourth proportional to 20,199, 27,876.78 and 11,822.52 is: 16,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 27,876.78 = 11,822.52 : x
  2. Step 2: Convert to fraction form
    20,199/27,876.78 = 11,822.52/x
  3. Step 3: Cross multiply
    20,199x = 27,876.78 × 11,822.52
  4. Step 4: Simplify right side
    20,199x = 329,573,789.09
  5. Step 5: Solve for x
    x = 329,573,789.09/20,199
  6. Step 6: Final answer
    x = 16,316.34

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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.