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Finding the Fourth Proportional to 13,963.92, 19,270.26 and 7,676.34

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Solution

The fourth proportional to 13,963.92, 19,270.26 and 7,676.34 is: 10,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.92 : 19,270.26 = 7,676.34 : x
  2. Step 2: Convert to fraction form
    13,963.92/19,270.26 = 7,676.34/x
  3. Step 3: Cross multiply
    13,963.92x = 19,270.26 × 7,676.34
  4. Step 4: Simplify right side
    13,963.92x = 147,925,067.65
  5. Step 5: Solve for x
    x = 147,925,067.65/13,963.92
  6. Step 6: Final answer
    x = 10,593.38

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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.