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Finding the Fourth Proportional to 12,111.77, 18,174.68 and 5,091.23

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Solution

The fourth proportional to 12,111.77, 18,174.68 and 5,091.23 is: 7,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.77 : 18,174.68 = 5,091.23 : x
  2. Step 2: Convert to fraction form
    12,111.77/18,174.68 = 5,091.23/x
  3. Step 3: Cross multiply
    12,111.77x = 18,174.68 × 5,091.23
  4. Step 4: Simplify right side
    12,111.77x = 92,531,359.73
  5. Step 5: Solve for x
    x = 92,531,359.73/12,111.77
  6. Step 6: Final answer
    x = 7,639.79

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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.