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Finding the Fourth Proportional to 27,512.23, 41,284.74 and 9,983.43

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Solution

The fourth proportional to 27,512.23, 41,284.74 and 9,983.43 is: 14,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.23 : 41,284.74 = 9,983.43 : x
  2. Step 2: Convert to fraction form
    27,512.23/41,284.74 = 9,983.43/x
  3. Step 3: Cross multiply
    27,512.23x = 41,284.74 × 9,983.43
  4. Step 4: Simplify right side
    27,512.23x = 412,163,105.43
  5. Step 5: Solve for x
    x = 412,163,105.43/27,512.23
  6. Step 6: Final answer
    x = 14,981.09

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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.