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Finding the Fourth Proportional to 17,163.70, 25,769.34 and 8,849.68

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Solution

The fourth proportional to 17,163.70, 25,769.34 and 8,849.68 is: 13,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163.70 : 25,769.34 = 8,849.68 : x
  2. Step 2: Convert to fraction form
    17,163.70/25,769.34 = 8,849.68/x
  3. Step 3: Cross multiply
    17,163.70x = 25,769.34 × 8,849.68
  4. Step 4: Simplify right side
    17,163.70x = 228,050,412.81
  5. Step 5: Solve for x
    x = 228,050,412.81/17,163.70
  6. Step 6: Final answer
    x = 13,286.79

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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.