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Finding the Fourth Proportional to 18,566.73, 27,857.39 and 8,171.19

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Solution

The fourth proportional to 18,566.73, 27,857.39 and 8,171.19 is: 12,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.73 : 27,857.39 = 8,171.19 : x
  2. Step 2: Convert to fraction form
    18,566.73/27,857.39 = 8,171.19/x
  3. Step 3: Cross multiply
    18,566.73x = 27,857.39 × 8,171.19
  4. Step 4: Simplify right side
    18,566.73x = 227,627,985.74
  5. Step 5: Solve for x
    x = 227,627,985.74/18,566.73
  6. Step 6: Final answer
    x = 12,259.99

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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.