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Finding the Fourth Proportional to 11,549.80, 17,286.30 and 8,093.80

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Solution

The fourth proportional to 11,549.80, 17,286.30 and 8,093.80 is: 12,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.80 : 17,286.30 = 8,093.80 : x
  2. Step 2: Convert to fraction form
    11,549.80/17,286.30 = 8,093.80/x
  3. Step 3: Cross multiply
    11,549.80x = 17,286.30 × 8,093.80
  4. Step 4: Simplify right side
    11,549.80x = 139,911,854.94
  5. Step 5: Solve for x
    x = 139,911,854.94/11,549.80
  6. Step 6: Final answer
    x = 12,113.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.