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Finding the Fourth Proportional to 18,424.50, 27,642.13 and 5,944.25

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Solution

The fourth proportional to 18,424.50, 27,642.13 and 5,944.25 is: 8,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.50 : 27,642.13 = 5,944.25 : x
  2. Step 2: Convert to fraction form
    18,424.50/27,642.13 = 5,944.25/x
  3. Step 3: Cross multiply
    18,424.50x = 27,642.13 × 5,944.25
  4. Step 4: Simplify right side
    18,424.50x = 164,311,593.04
  5. Step 5: Solve for x
    x = 164,311,593.04/18,424.50
  6. Step 6: Final answer
    x = 8,918.10

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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.