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Finding the Fourth Proportional to 20,296, 30,444.06 and 7,984

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Solution

The fourth proportional to 20,296, 30,444.06 and 7,984 is: 11,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296 : 30,444.06 = 7,984 : x
  2. Step 2: Convert to fraction form
    20,296/30,444.06 = 7,984/x
  3. Step 3: Cross multiply
    20,296x = 30,444.06 × 7,984
  4. Step 4: Simplify right side
    20,296x = 243,065,375.04
  5. Step 5: Solve for x
    x = 243,065,375.04/20,296
  6. Step 6: Final answer
    x = 11,976.02

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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.