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Finding the Fourth Proportional to 16,178.67, 24,268.01 and 5,086.33

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Solution

The fourth proportional to 16,178.67, 24,268.01 and 5,086.33 is: 7,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.67 : 24,268.01 = 5,086.33 : x
  2. Step 2: Convert to fraction form
    16,178.67/24,268.01 = 5,086.33/x
  3. Step 3: Cross multiply
    16,178.67x = 24,268.01 × 5,086.33
  4. Step 4: Simplify right side
    16,178.67x = 123,435,021.20
  5. Step 5: Solve for x
    x = 123,435,021.20/16,178.67
  6. Step 6: Final answer
    x = 7,629.49

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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.