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Finding the Fourth Proportional to 18,615.78, 27,924.90 and 8,227.50

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Solution

The fourth proportional to 18,615.78, 27,924.90 and 8,227.50 is: 12,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,615.78 : 27,924.90 = 8,227.50 : x
  2. Step 2: Convert to fraction form
    18,615.78/27,924.90 = 8,227.50/x
  3. Step 3: Cross multiply
    18,615.78x = 27,924.90 × 8,227.50
  4. Step 4: Simplify right side
    18,615.78x = 229,752,114.75
  5. Step 5: Solve for x
    x = 229,752,114.75/18,615.78
  6. Step 6: Final answer
    x = 12,341.79

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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.