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Finding the Fourth Proportional to 12,850.14, 17,737.38 and 7,544.82

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Solution

The fourth proportional to 12,850.14, 17,737.38 and 7,544.82 is: 10,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.14 : 17,737.38 = 7,544.82 : x
  2. Step 2: Convert to fraction form
    12,850.14/17,737.38 = 7,544.82/x
  3. Step 3: Cross multiply
    12,850.14x = 17,737.38 × 7,544.82
  4. Step 4: Simplify right side
    12,850.14x = 133,825,339.37
  5. Step 5: Solve for x
    x = 133,825,339.37/12,850.14
  6. Step 6: Final answer
    x = 10,414.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.