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Finding the Fourth Proportional to 19,805.76, 27,331.62 and 11,843.46

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Solution

The fourth proportional to 19,805.76, 27,331.62 and 11,843.46 is: 16,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.76 : 27,331.62 = 11,843.46 : x
  2. Step 2: Convert to fraction form
    19,805.76/27,331.62 = 11,843.46/x
  3. Step 3: Cross multiply
    19,805.76x = 27,331.62 × 11,843.46
  4. Step 4: Simplify right side
    19,805.76x = 323,700,948.21
  5. Step 5: Solve for x
    x = 323,700,948.21/19,805.76
  6. Step 6: Final answer
    x = 16,343.78

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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.