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Finding the Fourth Proportional to 18,213.50, 27,320.26 and 5,901.50

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Solution

The fourth proportional to 18,213.50, 27,320.26 and 5,901.50 is: 8,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.50 : 27,320.26 = 5,901.50 : x
  2. Step 2: Convert to fraction form
    18,213.50/27,320.26 = 5,901.50/x
  3. Step 3: Cross multiply
    18,213.50x = 27,320.26 × 5,901.50
  4. Step 4: Simplify right side
    18,213.50x = 161,230,514.39
  5. Step 5: Solve for x
    x = 161,230,514.39/18,213.50
  6. Step 6: Final answer
    x = 8,852.25

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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.