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Finding the Fourth Proportional to 20,132.73, 27,785.97 and 11,633.13

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Solution

The fourth proportional to 20,132.73, 27,785.97 and 11,633.13 is: 16,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.73 : 27,785.97 = 11,633.13 : x
  2. Step 2: Convert to fraction form
    20,132.73/27,785.97 = 11,633.13/x
  3. Step 3: Cross multiply
    20,132.73x = 27,785.97 × 11,633.13
  4. Step 4: Simplify right side
    20,132.73x = 323,237,801.19
  5. Step 5: Solve for x
    x = 323,237,801.19/20,132.73
  6. Step 6: Final answer
    x = 16,055.34

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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.