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Finding the Fourth Proportional to 27,331.02, 40,996.53 and 11,745

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Solution

The fourth proportional to 27,331.02, 40,996.53 and 11,745 is: 17,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,331.02 : 40,996.53 = 11,745 : x
  2. Step 2: Convert to fraction form
    27,331.02/40,996.53 = 11,745/x
  3. Step 3: Cross multiply
    27,331.02x = 40,996.53 × 11,745
  4. Step 4: Simplify right side
    27,331.02x = 481,504,244.85
  5. Step 5: Solve for x
    x = 481,504,244.85/27,331.02
  6. Step 6: Final answer
    x = 17,617.50

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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.