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Finding the Fourth Proportional to 19,833.66, 29,739.96 and 8,727.48

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Solution

The fourth proportional to 19,833.66, 29,739.96 and 8,727.48 is: 13,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.66 : 29,739.96 = 8,727.48 : x
  2. Step 2: Convert to fraction form
    19,833.66/29,739.96 = 8,727.48/x
  3. Step 3: Cross multiply
    19,833.66x = 29,739.96 × 8,727.48
  4. Step 4: Simplify right side
    19,833.66x = 259,554,906.10
  5. Step 5: Solve for x
    x = 259,554,906.10/19,833.66
  6. Step 6: Final answer
    x = 13,086.59

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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.