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Finding the Fourth Proportional to 16,182.73, 24,268.22 and 5,649.80

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Solution

The fourth proportional to 16,182.73, 24,268.22 and 5,649.80 is: 8,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.73 : 24,268.22 = 5,649.80 : x
  2. Step 2: Convert to fraction form
    16,182.73/24,268.22 = 5,649.80/x
  3. Step 3: Cross multiply
    16,182.73x = 24,268.22 × 5,649.80
  4. Step 4: Simplify right side
    16,182.73x = 137,110,439.77
  5. Step 5: Solve for x
    x = 137,110,439.77/16,182.73
  6. Step 6: Final answer
    x = 8,472.64

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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.