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Finding the Fourth Proportional to 20,844.72, 31,247.64 and 6,984

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Solution

The fourth proportional to 20,844.72, 31,247.64 and 6,984 is: 10,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.72 : 31,247.64 = 6,984 : x
  2. Step 2: Convert to fraction form
    20,844.72/31,247.64 = 6,984/x
  3. Step 3: Cross multiply
    20,844.72x = 31,247.64 × 6,984
  4. Step 4: Simplify right side
    20,844.72x = 218,233,517.76
  5. Step 5: Solve for x
    x = 218,233,517.76/20,844.72
  6. Step 6: Final answer
    x = 10,469.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.