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Finding the Fourth Proportional to 27,940.20, 41,912.28 and 10,410

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Solution

The fourth proportional to 27,940.20, 41,912.28 and 10,410 is: 15,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.20 : 41,912.28 = 10,410 : x
  2. Step 2: Convert to fraction form
    27,940.20/41,912.28 = 10,410/x
  3. Step 3: Cross multiply
    27,940.20x = 41,912.28 × 10,410
  4. Step 4: Simplify right side
    27,940.20x = 436,306,834.80
  5. Step 5: Solve for x
    x = 436,306,834.80/27,940.20
  6. Step 6: Final answer
    x = 15,615.74

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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.