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Finding the Fourth Proportional to 20,906.64, 31,365.44 and 12,133.14

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Solution

The fourth proportional to 20,906.64, 31,365.44 and 12,133.14 is: 18,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.64 : 31,365.44 = 12,133.14 : x
  2. Step 2: Convert to fraction form
    20,906.64/31,365.44 = 12,133.14/x
  3. Step 3: Cross multiply
    20,906.64x = 31,365.44 × 12,133.14
  4. Step 4: Simplify right side
    20,906.64x = 380,561,274.68
  5. Step 5: Solve for x
    x = 380,561,274.68/20,906.64
  6. Step 6: Final answer
    x = 18,202.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.