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Finding the Fourth Proportional to 20,236.73, 27,930.06 and 12,284.24

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Solution

The fourth proportional to 20,236.73, 27,930.06 and 12,284.24 is: 16,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.73 : 27,930.06 = 12,284.24 : x
  2. Step 2: Convert to fraction form
    20,236.73/27,930.06 = 12,284.24/x
  3. Step 3: Cross multiply
    20,236.73x = 27,930.06 × 12,284.24
  4. Step 4: Simplify right side
    20,236.73x = 343,099,420.60
  5. Step 5: Solve for x
    x = 343,099,420.60/20,236.73
  6. Step 6: Final answer
    x = 16,954.30

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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.