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Finding the Fourth Proportional to 18,221.54, 27,332.39 and 5,742.54

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Solution

The fourth proportional to 18,221.54, 27,332.39 and 5,742.54 is: 8,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,221.54 : 27,332.39 = 5,742.54 : x
  2. Step 2: Convert to fraction form
    18,221.54/27,332.39 = 5,742.54/x
  3. Step 3: Cross multiply
    18,221.54x = 27,332.39 × 5,742.54
  4. Step 4: Simplify right side
    18,221.54x = 156,957,357.23
  5. Step 5: Solve for x
    x = 156,957,357.23/18,221.54
  6. Step 6: Final answer
    x = 8,613.84

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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.