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Finding the Fourth Proportional to 18,179.46, 27,218.34 and 9,829.50

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Solution

The fourth proportional to 18,179.46, 27,218.34 and 9,829.50 is: 14,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,179.46 : 27,218.34 = 9,829.50 : x
  2. Step 2: Convert to fraction form
    18,179.46/27,218.34 = 9,829.50/x
  3. Step 3: Cross multiply
    18,179.46x = 27,218.34 × 9,829.50
  4. Step 4: Simplify right side
    18,179.46x = 267,542,673.03
  5. Step 5: Solve for x
    x = 267,542,673.03/18,179.46
  6. Step 6: Final answer
    x = 14,716.76

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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.