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Finding the Fourth Proportional to 12,382.46, 17,067.81 and 10,140.38

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Solution

The fourth proportional to 12,382.46, 17,067.81 and 10,140.38 is: 13,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.46 : 17,067.81 = 10,140.38 : x
  2. Step 2: Convert to fraction form
    12,382.46/17,067.81 = 10,140.38/x
  3. Step 3: Cross multiply
    12,382.46x = 17,067.81 × 10,140.38
  4. Step 4: Simplify right side
    12,382.46x = 173,073,993.83
  5. Step 5: Solve for x
    x = 173,073,993.83/12,382.46
  6. Step 6: Final answer
    x = 13,977.36

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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.