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Finding the Fourth Proportional to 26,975.97, 40,469.76 and 10,335.99

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Solution

The fourth proportional to 26,975.97, 40,469.76 and 10,335.99 is: 15,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975.97 : 40,469.76 = 10,335.99 : x
  2. Step 2: Convert to fraction form
    26,975.97/40,469.76 = 10,335.99/x
  3. Step 3: Cross multiply
    26,975.97x = 40,469.76 × 10,335.99
  4. Step 4: Simplify right side
    26,975.97x = 418,295,034.66
  5. Step 5: Solve for x
    x = 418,295,034.66/26,975.97
  6. Step 6: Final answer
    x = 15,506.21

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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.