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Finding the Fourth Proportional to 27,989.50, 41,967.24 and 11,335.90

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Solution

The fourth proportional to 27,989.50, 41,967.24 and 11,335.90 is: 16,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.50 : 41,967.24 = 11,335.90 : x
  2. Step 2: Convert to fraction form
    27,989.50/41,967.24 = 11,335.90/x
  3. Step 3: Cross multiply
    27,989.50x = 41,967.24 × 11,335.90
  4. Step 4: Simplify right side
    27,989.50x = 475,736,435.92
  5. Step 5: Solve for x
    x = 475,736,435.92/27,989.50
  6. Step 6: Final answer
    x = 16,996.96

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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.