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Finding the Fourth Proportional to 20,540.27, 30,664.49 and 19,811.27

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Solution

The fourth proportional to 20,540.27, 30,664.49 and 19,811.27 is: 29,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.27 : 30,664.49 = 19,811.27 : x
  2. Step 2: Convert to fraction form
    20,540.27/30,664.49 = 19,811.27/x
  3. Step 3: Cross multiply
    20,540.27x = 30,664.49 × 19,811.27
  4. Step 4: Simplify right side
    20,540.27x = 607,502,238.42
  5. Step 5: Solve for x
    x = 607,502,238.42/20,540.27
  6. Step 6: Final answer
    x = 29,576.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.