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Finding the Fourth Proportional to 16,546.67, 22,834.58 and 8,993.13

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Solution

The fourth proportional to 16,546.67, 22,834.58 and 8,993.13 is: 12,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.67 : 22,834.58 = 8,993.13 : x
  2. Step 2: Convert to fraction form
    16,546.67/22,834.58 = 8,993.13/x
  3. Step 3: Cross multiply
    16,546.67x = 22,834.58 × 8,993.13
  4. Step 4: Simplify right side
    16,546.67x = 205,354,346.44
  5. Step 5: Solve for x
    x = 205,354,346.44/16,546.67
  6. Step 6: Final answer
    x = 12,410.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.