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Finding the Fourth Proportional to 12,217.64, 16,851.29 and 7,911.81

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Solution

The fourth proportional to 12,217.64, 16,851.29 and 7,911.81 is: 10,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.64 : 16,851.29 = 7,911.81 : x
  2. Step 2: Convert to fraction form
    12,217.64/16,851.29 = 7,911.81/x
  3. Step 3: Cross multiply
    12,217.64x = 16,851.29 × 7,911.81
  4. Step 4: Simplify right side
    12,217.64x = 133,324,165.18
  5. Step 5: Solve for x
    x = 133,324,165.18/12,217.64
  6. Step 6: Final answer
    x = 10,912.44

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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.