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Finding the Fourth Proportional to 16,563.40, 24,847.56 and 5,471.26

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Solution

The fourth proportional to 16,563.40, 24,847.56 and 5,471.26 is: 8,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.40 : 24,847.56 = 5,471.26 : x
  2. Step 2: Convert to fraction form
    16,563.40/24,847.56 = 5,471.26/x
  3. Step 3: Cross multiply
    16,563.40x = 24,847.56 × 5,471.26
  4. Step 4: Simplify right side
    16,563.40x = 135,947,309.53
  5. Step 5: Solve for x
    x = 135,947,309.53/16,563.40
  6. Step 6: Final answer
    x = 8,207.70

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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.