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Finding the Fourth Proportional to 18,506.81, 27,760.22 and 6,194.81

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Solution

The fourth proportional to 18,506.81, 27,760.22 and 6,194.81 is: 9,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.81 : 27,760.22 = 6,194.81 : x
  2. Step 2: Convert to fraction form
    18,506.81/27,760.22 = 6,194.81/x
  3. Step 3: Cross multiply
    18,506.81x = 27,760.22 × 6,194.81
  4. Step 4: Simplify right side
    18,506.81x = 171,969,350.12
  5. Step 5: Solve for x
    x = 171,969,350.12/18,506.81
  6. Step 6: Final answer
    x = 9,292.22

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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.