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Finding the Fourth Proportional to 16,766.89, 23,138.69 and 9,213.69

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Solution

The fourth proportional to 16,766.89, 23,138.69 and 9,213.69 is: 12,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.89 : 23,138.69 = 9,213.69 : x
  2. Step 2: Convert to fraction form
    16,766.89/23,138.69 = 9,213.69/x
  3. Step 3: Cross multiply
    16,766.89x = 23,138.69 × 9,213.69
  4. Step 4: Simplify right side
    16,766.89x = 213,192,716.67
  5. Step 5: Solve for x
    x = 213,192,716.67/16,766.89
  6. Step 6: Final answer
    x = 12,715.10

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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.