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Finding the Fourth Proportional to 16,563.68, 24,846.30 and 5,471.36

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Solution

The fourth proportional to 16,563.68, 24,846.30 and 5,471.36 is: 8,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.68 : 24,846.30 = 5,471.36 : x
  2. Step 2: Convert to fraction form
    16,563.68/24,846.30 = 5,471.36/x
  3. Step 3: Cross multiply
    16,563.68x = 24,846.30 × 5,471.36
  4. Step 4: Simplify right side
    16,563.68x = 135,943,051.97
  5. Step 5: Solve for x
    x = 135,943,051.97/16,563.68
  6. Step 6: Final answer
    x = 8,207.30

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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.