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Finding the Fourth Proportional to 16,177.68, 24,268.91 and 8,284.66

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Solution

The fourth proportional to 16,177.68, 24,268.91 and 8,284.66 is: 12,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.68 : 24,268.91 = 8,284.66 : x
  2. Step 2: Convert to fraction form
    16,177.68/24,268.91 = 8,284.66/x
  3. Step 3: Cross multiply
    16,177.68x = 24,268.91 × 8,284.66
  4. Step 4: Simplify right side
    16,177.68x = 201,059,505.15
  5. Step 5: Solve for x
    x = 201,059,505.15/16,177.68
  6. Step 6: Final answer
    x = 12,428.20

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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.