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Finding the Fourth Proportional to 12,195.34, 16,824.56 and 8,217.74

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Solution

The fourth proportional to 12,195.34, 16,824.56 and 8,217.74 is: 11,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.34 : 16,824.56 = 8,217.74 : x
  2. Step 2: Convert to fraction form
    12,195.34/16,824.56 = 8,217.74/x
  3. Step 3: Cross multiply
    12,195.34x = 16,824.56 × 8,217.74
  4. Step 4: Simplify right side
    12,195.34x = 138,259,859.69
  5. Step 5: Solve for x
    x = 138,259,859.69/12,195.34
  6. Step 6: Final answer
    x = 11,337.11

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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.