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Finding the Fourth Proportional to 20,493.36, 30,739.32 and 6,642

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Solution

The fourth proportional to 20,493.36, 30,739.32 and 6,642 is: 9,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.36 : 30,739.32 = 6,642 : x
  2. Step 2: Convert to fraction form
    20,493.36/30,739.32 = 6,642/x
  3. Step 3: Cross multiply
    20,493.36x = 30,739.32 × 6,642
  4. Step 4: Simplify right side
    20,493.36x = 204,170,563.44
  5. Step 5: Solve for x
    x = 204,170,563.44/20,493.36
  6. Step 6: Final answer
    x = 9,962.77

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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.