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Finding the Fourth Proportional to 16,447.68, 22,697.75 and 8,893.96

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Solution

The fourth proportional to 16,447.68, 22,697.75 and 8,893.96 is: 12,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.68 : 22,697.75 = 8,893.96 : x
  2. Step 2: Convert to fraction form
    16,447.68/22,697.75 = 8,893.96/x
  3. Step 3: Cross multiply
    16,447.68x = 22,697.75 × 8,893.96
  4. Step 4: Simplify right side
    16,447.68x = 201,872,846.08
  5. Step 5: Solve for x
    x = 201,872,846.08/16,447.68
  6. Step 6: Final answer
    x = 12,273.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.