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Finding the Fourth Proportional to 12,196.77, 18,309.69 and 7,268.73

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Solution

The fourth proportional to 12,196.77, 18,309.69 and 7,268.73 is: 10,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.77 : 18,309.69 = 7,268.73 : x
  2. Step 2: Convert to fraction form
    12,196.77/18,309.69 = 7,268.73/x
  3. Step 3: Cross multiply
    12,196.77x = 18,309.69 × 7,268.73
  4. Step 4: Simplify right side
    12,196.77x = 133,088,192.99
  5. Step 5: Solve for x
    x = 133,088,192.99/12,196.77
  6. Step 6: Final answer
    x = 10,911.76

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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.