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Finding the Fourth Proportional to 27,880.50, 41,824.65 and 8,160.48

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Solution

The fourth proportional to 27,880.50, 41,824.65 and 8,160.48 is: 12,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.50 : 41,824.65 = 8,160.48 : x
  2. Step 2: Convert to fraction form
    27,880.50/41,824.65 = 8,160.48/x
  3. Step 3: Cross multiply
    27,880.50x = 41,824.65 × 8,160.48
  4. Step 4: Simplify right side
    27,880.50x = 341,309,219.83
  5. Step 5: Solve for x
    x = 341,309,219.83/27,880.50
  6. Step 6: Final answer
    x = 12,241.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.