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Finding the Fourth Proportional to 18,233.62, 27,341.07 and 8,364.38

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Solution

The fourth proportional to 18,233.62, 27,341.07 and 8,364.38 is: 12,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.62 : 27,341.07 = 8,364.38 : x
  2. Step 2: Convert to fraction form
    18,233.62/27,341.07 = 8,364.38/x
  3. Step 3: Cross multiply
    18,233.62x = 27,341.07 × 8,364.38
  4. Step 4: Simplify right side
    18,233.62x = 228,691,057.26
  5. Step 5: Solve for x
    x = 228,691,057.26/18,233.62
  6. Step 6: Final answer
    x = 12,542.27

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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.