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Finding the Fourth Proportional to 12,217.76, 16,854.48 and 8,233.76

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Solution

The fourth proportional to 12,217.76, 16,854.48 and 8,233.76 is: 11,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.76 : 16,854.48 = 8,233.76 : x
  2. Step 2: Convert to fraction form
    12,217.76/16,854.48 = 8,233.76/x
  3. Step 3: Cross multiply
    12,217.76x = 16,854.48 × 8,233.76
  4. Step 4: Simplify right side
    12,217.76x = 138,775,743.24
  5. Step 5: Solve for x
    x = 138,775,743.24/12,217.76
  6. Step 6: Final answer
    x = 11,358.53

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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.