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Finding the Fourth Proportional to 16,177.43, 24,268.53 and 8,284.41

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Solution

The fourth proportional to 16,177.43, 24,268.53 and 8,284.41 is: 12,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.43 : 24,268.53 = 8,284.41 : x
  2. Step 2: Convert to fraction form
    16,177.43/24,268.53 = 8,284.41/x
  3. Step 3: Cross multiply
    16,177.43x = 24,268.53 × 8,284.41
  4. Step 4: Simplify right side
    16,177.43x = 201,050,452.62
  5. Step 5: Solve for x
    x = 201,050,452.62/16,177.43
  6. Step 6: Final answer
    x = 12,427.84

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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.