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Finding the Fourth Proportional to 18,583.14, 27,861.74 and 6,893.22

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Solution

The fourth proportional to 18,583.14, 27,861.74 and 6,893.22 is: 10,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.14 : 27,861.74 = 6,893.22 : x
  2. Step 2: Convert to fraction form
    18,583.14/27,861.74 = 6,893.22/x
  3. Step 3: Cross multiply
    18,583.14x = 27,861.74 × 6,893.22
  4. Step 4: Simplify right side
    18,583.14x = 192,057,103.40
  5. Step 5: Solve for x
    x = 192,057,103.40/18,583.14
  6. Step 6: Final answer
    x = 10,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.