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Finding the Fourth Proportional to 20,879.16, 31,320.24 and 8,399.26

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Solution

The fourth proportional to 20,879.16, 31,320.24 and 8,399.26 is: 12,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.16 : 31,320.24 = 8,399.26 : x
  2. Step 2: Convert to fraction form
    20,879.16/31,320.24 = 8,399.26/x
  3. Step 3: Cross multiply
    20,879.16x = 31,320.24 × 8,399.26
  4. Step 4: Simplify right side
    20,879.16x = 263,066,839.02
  5. Step 5: Solve for x
    x = 263,066,839.02/20,879.16
  6. Step 6: Final answer
    x = 12,599.49

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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.