Home / 20,803.24-31,198.38-6,949

Finding the Fourth Proportional to 20,803.24, 31,198.38 and 6,949

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Solution

The fourth proportional to 20,803.24, 31,198.38 and 6,949 is: 10,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.24 : 31,198.38 = 6,949 : x
  2. Step 2: Convert to fraction form
    20,803.24/31,198.38 = 6,949/x
  3. Step 3: Cross multiply
    20,803.24x = 31,198.38 × 6,949
  4. Step 4: Simplify right side
    20,803.24x = 216,797,542.62
  5. Step 5: Solve for x
    x = 216,797,542.62/20,803.24
  6. Step 6: Final answer
    x = 10,421.34

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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.