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Finding the Fourth Proportional to 12,732.92, 19,101.92 and 3,967.48

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Solution

The fourth proportional to 12,732.92, 19,101.92 and 3,967.48 is: 5,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.92 : 19,101.92 = 3,967.48 : x
  2. Step 2: Convert to fraction form
    12,732.92/19,101.92 = 3,967.48/x
  3. Step 3: Cross multiply
    12,732.92x = 19,101.92 × 3,967.48
  4. Step 4: Simplify right side
    12,732.92x = 75,786,485.56
  5. Step 5: Solve for x
    x = 75,786,485.56/12,732.92
  6. Step 6: Final answer
    x = 5,952.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.