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Finding the Fourth Proportional to 13,767.68, 20,651.99 and 8,443.25

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Solution

The fourth proportional to 13,767.68, 20,651.99 and 8,443.25 is: 12,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.68 : 20,651.99 = 8,443.25 : x
  2. Step 2: Convert to fraction form
    13,767.68/20,651.99 = 8,443.25/x
  3. Step 3: Cross multiply
    13,767.68x = 20,651.99 × 8,443.25
  4. Step 4: Simplify right side
    13,767.68x = 174,369,846.54
  5. Step 5: Solve for x
    x = 174,369,846.54/13,767.68
  6. Step 6: Final answer
    x = 12,665.16

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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.