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Finding the Fourth Proportional to 18,532.23, 27,778.43 and 8,007.23

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Solution

The fourth proportional to 18,532.23, 27,778.43 and 8,007.23 is: 12,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.23 : 27,778.43 = 8,007.23 : x
  2. Step 2: Convert to fraction form
    18,532.23/27,778.43 = 8,007.23/x
  3. Step 3: Cross multiply
    18,532.23x = 27,778.43 × 8,007.23
  4. Step 4: Simplify right side
    18,532.23x = 222,428,278.05
  5. Step 5: Solve for x
    x = 222,428,278.05/18,532.23
  6. Step 6: Final answer
    x = 12,002.24

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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.