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Finding the Fourth Proportional to 11,924.54, 17,887.20 and 5,998.20

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Solution

The fourth proportional to 11,924.54, 17,887.20 and 5,998.20 is: 8,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.54 : 17,887.20 = 5,998.20 : x
  2. Step 2: Convert to fraction form
    11,924.54/17,887.20 = 5,998.20/x
  3. Step 3: Cross multiply
    11,924.54x = 17,887.20 × 5,998.20
  4. Step 4: Simplify right side
    11,924.54x = 107,290,913.47
  5. Step 5: Solve for x
    x = 107,290,913.47/11,924.54
  6. Step 6: Final answer
    x = 8,997.49

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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.