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Finding the Fourth Proportional to 18,189.38, 27,297.81 and 8,335.60

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Solution

The fourth proportional to 18,189.38, 27,297.81 and 8,335.60 is: 12,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.38 : 27,297.81 = 8,335.60 : x
  2. Step 2: Convert to fraction form
    18,189.38/27,297.81 = 8,335.60/x
  3. Step 3: Cross multiply
    18,189.38x = 27,297.81 × 8,335.60
  4. Step 4: Simplify right side
    18,189.38x = 227,543,556.79
  5. Step 5: Solve for x
    x = 227,543,556.79/18,189.38
  6. Step 6: Final answer
    x = 12,509.69

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Why These Related Problems?

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