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Finding the Fourth Proportional to 20,563.16, 30,845.86 and 6,524.26

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Solution

The fourth proportional to 20,563.16, 30,845.86 and 6,524.26 is: 9,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.16 : 30,845.86 = 6,524.26 : x
  2. Step 2: Convert to fraction form
    20,563.16/30,845.86 = 6,524.26/x
  3. Step 3: Cross multiply
    20,563.16x = 30,845.86 × 6,524.26
  4. Step 4: Simplify right side
    20,563.16x = 201,246,410.56
  5. Step 5: Solve for x
    x = 201,246,410.56/20,563.16
  6. Step 6: Final answer
    x = 9,786.75

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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.