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Finding the Fourth Proportional to 18,223.25, 27,339.03 and 5,743.22

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Solution

The fourth proportional to 18,223.25, 27,339.03 and 5,743.22 is: 8,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.25 : 27,339.03 = 5,743.22 : x
  2. Step 2: Convert to fraction form
    18,223.25/27,339.03 = 5,743.22/x
  3. Step 3: Cross multiply
    18,223.25x = 27,339.03 × 5,743.22
  4. Step 4: Simplify right side
    18,223.25x = 157,013,927.18
  5. Step 5: Solve for x
    x = 157,013,927.18/18,223.25
  6. Step 6: Final answer
    x = 8,616.13

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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.