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Finding the Fourth Proportional to 20,181.71, 27,850.31 and 11,684.20

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Solution

The fourth proportional to 20,181.71, 27,850.31 and 11,684.20 is: 16,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.71 : 27,850.31 = 11,684.20 : x
  2. Step 2: Convert to fraction form
    20,181.71/27,850.31 = 11,684.20/x
  3. Step 3: Cross multiply
    20,181.71x = 27,850.31 × 11,684.20
  4. Step 4: Simplify right side
    20,181.71x = 325,408,625.81
  5. Step 5: Solve for x
    x = 325,408,625.81/20,181.71
  6. Step 6: Final answer
    x = 16,123.94

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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.