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Finding the Fourth Proportional to 18,496.26, 27,744.40 and 6,184.26

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Solution

The fourth proportional to 18,496.26, 27,744.40 and 6,184.26 is: 9,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.26 : 27,744.40 = 6,184.26 : x
  2. Step 2: Convert to fraction form
    18,496.26/27,744.40 = 6,184.26/x
  3. Step 3: Cross multiply
    18,496.26x = 27,744.40 × 6,184.26
  4. Step 4: Simplify right side
    18,496.26x = 171,578,583.14
  5. Step 5: Solve for x
    x = 171,578,583.14/18,496.26
  6. Step 6: Final answer
    x = 9,276.39

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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.