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Finding the Fourth Proportional to 20,563.78, 30,846.27 and 6,523.87

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Solution

The fourth proportional to 20,563.78, 30,846.27 and 6,523.87 is: 9,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.78 : 30,846.27 = 6,523.87 : x
  2. Step 2: Convert to fraction form
    20,563.78/30,846.27 = 6,523.87/x
  3. Step 3: Cross multiply
    20,563.78x = 30,846.27 × 6,523.87
  4. Step 4: Simplify right side
    20,563.78x = 201,237,055.46
  5. Step 5: Solve for x
    x = 201,237,055.46/20,563.78
  6. Step 6: Final answer
    x = 9,786.00

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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.