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Finding the Fourth Proportional to 12,165.96, 16,789.60 and 6,860.66

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Solution

The fourth proportional to 12,165.96, 16,789.60 and 6,860.66 is: 9,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.96 : 16,789.60 = 6,860.66 : x
  2. Step 2: Convert to fraction form
    12,165.96/16,789.60 = 6,860.66/x
  3. Step 3: Cross multiply
    12,165.96x = 16,789.60 × 6,860.66
  4. Step 4: Simplify right side
    12,165.96x = 115,187,737.14
  5. Step 5: Solve for x
    x = 115,187,737.14/12,165.96
  6. Step 6: Final answer
    x = 9,468.04

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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.