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Finding the Fourth Proportional to 20,171.53, 27,835.95 and 11,218.80

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Solution

The fourth proportional to 20,171.53, 27,835.95 and 11,218.80 is: 15,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.53 : 27,835.95 = 11,218.80 : x
  2. Step 2: Convert to fraction form
    20,171.53/27,835.95 = 11,218.80/x
  3. Step 3: Cross multiply
    20,171.53x = 27,835.95 × 11,218.80
  4. Step 4: Simplify right side
    20,171.53x = 312,286,102.32
  5. Step 5: Solve for x
    x = 312,286,102.32/20,171.53
  6. Step 6: Final answer
    x = 15,481.53

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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.