Home / 20,972.53-31,464.24-7,825

Finding the Fourth Proportional to 20,972.53, 31,464.24 and 7,825

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Solution

The fourth proportional to 20,972.53, 31,464.24 and 7,825 is: 11,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.53 : 31,464.24 = 7,825 : x
  2. Step 2: Convert to fraction form
    20,972.53/31,464.24 = 7,825/x
  3. Step 3: Cross multiply
    20,972.53x = 31,464.24 × 7,825
  4. Step 4: Simplify right side
    20,972.53x = 246,207,678
  5. Step 5: Solve for x
    x = 246,207,678/20,972.53
  6. Step 6: Final answer
    x = 11,739.53

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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.