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Finding the Fourth Proportional to 12,166.45, 16,789.67 and 6,861.23

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Solution

The fourth proportional to 12,166.45, 16,789.67 and 6,861.23 is: 9,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.45 : 16,789.67 = 6,861.23 : x
  2. Step 2: Convert to fraction form
    12,166.45/16,789.67 = 6,861.23/x
  3. Step 3: Cross multiply
    12,166.45x = 16,789.67 × 6,861.23
  4. Step 4: Simplify right side
    12,166.45x = 115,197,787.49
  5. Step 5: Solve for x
    x = 115,197,787.49/12,166.45
  6. Step 6: Final answer
    x = 9,468.48

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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.