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Finding the Fourth Proportional to 27,109.89, 40,650.26 and 8,384.31

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Solution

The fourth proportional to 27,109.89, 40,650.26 and 8,384.31 is: 12,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.89 : 40,650.26 = 8,384.31 : x
  2. Step 2: Convert to fraction form
    27,109.89/40,650.26 = 8,384.31/x
  3. Step 3: Cross multiply
    27,109.89x = 40,650.26 × 8,384.31
  4. Step 4: Simplify right side
    27,109.89x = 340,824,339.50
  5. Step 5: Solve for x
    x = 340,824,339.50/27,109.89
  6. Step 6: Final answer
    x = 12,571.96

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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.