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Finding the Fourth Proportional to 20,096.70, 27,729.87 and 12,133.59

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Solution

The fourth proportional to 20,096.70, 27,729.87 and 12,133.59 is: 16,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.70 : 27,729.87 = 12,133.59 : x
  2. Step 2: Convert to fraction form
    20,096.70/27,729.87 = 12,133.59/x
  3. Step 3: Cross multiply
    20,096.70x = 27,729.87 × 12,133.59
  4. Step 4: Simplify right side
    20,096.70x = 336,462,873.33
  5. Step 5: Solve for x
    x = 336,462,873.33/20,096.70
  6. Step 6: Final answer
    x = 16,742.20

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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.