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Finding the Fourth Proportional to 20,614.76, 30,935.96 and 8,133.36

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Solution

The fourth proportional to 20,614.76, 30,935.96 and 8,133.36 is: 12,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.76 : 30,935.96 = 8,133.36 : x
  2. Step 2: Convert to fraction form
    20,614.76/30,935.96 = 8,133.36/x
  3. Step 3: Cross multiply
    20,614.76x = 30,935.96 × 8,133.36
  4. Step 4: Simplify right side
    20,614.76x = 251,613,299.63
  5. Step 5: Solve for x
    x = 251,613,299.63/20,614.76
  6. Step 6: Final answer
    x = 12,205.49

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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.