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Finding the Fourth Proportional to 16,174.17, 24,268.95 and 8,382.96

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Solution

The fourth proportional to 16,174.17, 24,268.95 and 8,382.96 is: 12,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.17 : 24,268.95 = 8,382.96 : x
  2. Step 2: Convert to fraction form
    16,174.17/24,268.95 = 8,382.96/x
  3. Step 3: Cross multiply
    16,174.17x = 24,268.95 × 8,382.96
  4. Step 4: Simplify right side
    16,174.17x = 203,445,637.09
  5. Step 5: Solve for x
    x = 203,445,637.09/16,174.17
  6. Step 6: Final answer
    x = 12,578.43

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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.