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Finding the Fourth Proportional to 18,530.50, 27,772.71 and 8,131.78

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Solution

The fourth proportional to 18,530.50, 27,772.71 and 8,131.78 is: 12,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.50 : 27,772.71 = 8,131.78 : x
  2. Step 2: Convert to fraction form
    18,530.50/27,772.71 = 8,131.78/x
  3. Step 3: Cross multiply
    18,530.50x = 27,772.71 × 8,131.78
  4. Step 4: Simplify right side
    18,530.50x = 225,841,567.72
  5. Step 5: Solve for x
    x = 225,841,567.72/18,530.50
  6. Step 6: Final answer
    x = 12,187.56

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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.