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Finding the Fourth Proportional to 13,942.38, 19,240.38 and 7,568.82

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Solution

The fourth proportional to 13,942.38, 19,240.38 and 7,568.82 is: 10,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.38 : 19,240.38 = 7,568.82 : x
  2. Step 2: Convert to fraction form
    13,942.38/19,240.38 = 7,568.82/x
  3. Step 3: Cross multiply
    13,942.38x = 19,240.38 × 7,568.82
  4. Step 4: Simplify right side
    13,942.38x = 145,626,972.95
  5. Step 5: Solve for x
    x = 145,626,972.95/13,942.38
  6. Step 6: Final answer
    x = 10,444.91

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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.