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Finding the Fourth Proportional to 16,686.57, 25,039.71 and 6,163.96

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Solution

The fourth proportional to 16,686.57, 25,039.71 and 6,163.96 is: 9,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.57 : 25,039.71 = 6,163.96 : x
  2. Step 2: Convert to fraction form
    16,686.57/25,039.71 = 6,163.96/x
  3. Step 3: Cross multiply
    16,686.57x = 25,039.71 × 6,163.96
  4. Step 4: Simplify right side
    16,686.57x = 154,343,770.85
  5. Step 5: Solve for x
    x = 154,343,770.85/16,686.57
  6. Step 6: Final answer
    x = 9,249.58

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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.