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Finding the Fourth Proportional to 20,563.41, 30,857.87 and 9,471.68

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Solution

The fourth proportional to 20,563.41, 30,857.87 and 9,471.68 is: 14,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.41 : 30,857.87 = 9,471.68 : x
  2. Step 2: Convert to fraction form
    20,563.41/30,857.87 = 9,471.68/x
  3. Step 3: Cross multiply
    20,563.41x = 30,857.87 × 9,471.68
  4. Step 4: Simplify right side
    20,563.41x = 292,275,739.51
  5. Step 5: Solve for x
    x = 292,275,739.51/20,563.41
  6. Step 6: Final answer
    x = 14,213.39

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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.