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Finding the Fourth Proportional to 18,266.10, 27,400.16 and 8,914.09

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Solution

The fourth proportional to 18,266.10, 27,400.16 and 8,914.09 is: 13,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.10 : 27,400.16 = 8,914.09 : x
  2. Step 2: Convert to fraction form
    18,266.10/27,400.16 = 8,914.09/x
  3. Step 3: Cross multiply
    18,266.10x = 27,400.16 × 8,914.09
  4. Step 4: Simplify right side
    18,266.10x = 244,247,492.25
  5. Step 5: Solve for x
    x = 244,247,492.25/18,266.10
  6. Step 6: Final answer
    x = 13,371.63

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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.