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Finding the Fourth Proportional to 18,505.77, 27,760.32 and 6,022.55

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Solution

The fourth proportional to 18,505.77, 27,760.32 and 6,022.55 is: 9,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.77 : 27,760.32 = 6,022.55 : x
  2. Step 2: Convert to fraction form
    18,505.77/27,760.32 = 6,022.55/x
  3. Step 3: Cross multiply
    18,505.77x = 27,760.32 × 6,022.55
  4. Step 4: Simplify right side
    18,505.77x = 167,187,984.62
  5. Step 5: Solve for x
    x = 167,187,984.62/18,505.77
  6. Step 6: Final answer
    x = 9,034.37

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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.