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Finding the Fourth Proportional to 19,900.38, 27,462.11 and 10,947.72

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Solution

The fourth proportional to 19,900.38, 27,462.11 and 10,947.72 is: 15,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.38 : 27,462.11 = 10,947.72 : x
  2. Step 2: Convert to fraction form
    19,900.38/27,462.11 = 10,947.72/x
  3. Step 3: Cross multiply
    19,900.38x = 27,462.11 × 10,947.72
  4. Step 4: Simplify right side
    19,900.38x = 300,647,436.15
  5. Step 5: Solve for x
    x = 300,647,436.15/19,900.38
  6. Step 6: Final answer
    x = 15,107.62

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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.