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Finding the Fourth Proportional to 12,193.85, 16,828.75 and 8,793.66

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Solution

The fourth proportional to 12,193.85, 16,828.75 and 8,793.66 is: 12,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.85 : 16,828.75 = 8,793.66 : x
  2. Step 2: Convert to fraction form
    12,193.85/16,828.75 = 8,793.66/x
  3. Step 3: Cross multiply
    12,193.85x = 16,828.75 × 8,793.66
  4. Step 4: Simplify right side
    12,193.85x = 147,986,305.73
  5. Step 5: Solve for x
    x = 147,986,305.73/12,193.85
  6. Step 6: Final answer
    x = 12,136.14

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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.