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Finding the Fourth Proportional to 16,178.97, 24,268.47 and 5,086.63

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Solution

The fourth proportional to 16,178.97, 24,268.47 and 5,086.63 is: 7,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.97 : 24,268.47 = 5,086.63 : x
  2. Step 2: Convert to fraction form
    16,178.97/24,268.47 = 5,086.63/x
  3. Step 3: Cross multiply
    16,178.97x = 24,268.47 × 5,086.63
  4. Step 4: Simplify right side
    16,178.97x = 123,444,727.56
  5. Step 5: Solve for x
    x = 123,444,727.56/16,178.97
  6. Step 6: Final answer
    x = 7,629.95

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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.