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Finding the Fourth Proportional to 16,464.12, 24,640.74 and 12,166.68

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Solution

The fourth proportional to 16,464.12, 24,640.74 and 12,166.68 is: 18,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.12 : 24,640.74 = 12,166.68 : x
  2. Step 2: Convert to fraction form
    16,464.12/24,640.74 = 12,166.68/x
  3. Step 3: Cross multiply
    16,464.12x = 24,640.74 × 12,166.68
  4. Step 4: Simplify right side
    16,464.12x = 299,795,998.54
  5. Step 5: Solve for x
    x = 299,795,998.54/16,464.12
  6. Step 6: Final answer
    x = 18,209.05

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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.