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Finding the Fourth Proportional to 12,091.81, 18,134.20 and 5,071.63

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Solution

The fourth proportional to 12,091.81, 18,134.20 and 5,071.63 is: 7,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.81 : 18,134.20 = 5,071.63 : x
  2. Step 2: Convert to fraction form
    12,091.81/18,134.20 = 5,071.63/x
  3. Step 3: Cross multiply
    12,091.81x = 18,134.20 × 5,071.63
  4. Step 4: Simplify right side
    12,091.81x = 91,969,952.75
  5. Step 5: Solve for x
    x = 91,969,952.75/12,091.81
  6. Step 6: Final answer
    x = 7,605.97

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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.