Home / 21,824.12-32,735.94-7,973

Finding the Fourth Proportional to 21,824.12, 32,735.94 and 7,973

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Solution

The fourth proportional to 21,824.12, 32,735.94 and 7,973 is: 11,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.12 : 32,735.94 = 7,973 : x
  2. Step 2: Convert to fraction form
    21,824.12/32,735.94 = 7,973/x
  3. Step 3: Cross multiply
    21,824.12x = 32,735.94 × 7,973
  4. Step 4: Simplify right side
    21,824.12x = 261,003,649.62
  5. Step 5: Solve for x
    x = 261,003,649.62/21,824.12
  6. Step 6: Final answer
    x = 11,959.41

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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.