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Finding the Fourth Proportional to 27,796.36, 41,694.66 and 7,019.86

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Solution

The fourth proportional to 27,796.36, 41,694.66 and 7,019.86 is: 10,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.36 : 41,694.66 = 7,019.86 : x
  2. Step 2: Convert to fraction form
    27,796.36/41,694.66 = 7,019.86/x
  3. Step 3: Cross multiply
    27,796.36x = 41,694.66 × 7,019.86
  4. Step 4: Simplify right side
    27,796.36x = 292,690,675.95
  5. Step 5: Solve for x
    x = 292,690,675.95/27,796.36
  6. Step 6: Final answer
    x = 10,529.82

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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.