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Finding the Fourth Proportional to 20,666.26, 30,979.67 and 6,617.21

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Solution

The fourth proportional to 20,666.26, 30,979.67 and 6,617.21 is: 9,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.26 : 30,979.67 = 6,617.21 : x
  2. Step 2: Convert to fraction form
    20,666.26/30,979.67 = 6,617.21/x
  3. Step 3: Cross multiply
    20,666.26x = 30,979.67 × 6,617.21
  4. Step 4: Simplify right side
    20,666.26x = 204,998,968.40
  5. Step 5: Solve for x
    x = 204,998,968.40/20,666.26
  6. Step 6: Final answer
    x = 9,919.50

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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.