Home / 20,969.52-31,459.74-7,822

Finding the Fourth Proportional to 20,969.52, 31,459.74 and 7,822

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Solution

The fourth proportional to 20,969.52, 31,459.74 and 7,822 is: 11,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.52 : 31,459.74 = 7,822 : x
  2. Step 2: Convert to fraction form
    20,969.52/31,459.74 = 7,822/x
  3. Step 3: Cross multiply
    20,969.52x = 31,459.74 × 7,822
  4. Step 4: Simplify right side
    20,969.52x = 246,078,086.28
  5. Step 5: Solve for x
    x = 246,078,086.28/20,969.52
  6. Step 6: Final answer
    x = 11,735.04

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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.