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Finding the Fourth Proportional to 27,803.94, 41,708.21 and 8,082.47

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Solution

The fourth proportional to 27,803.94, 41,708.21 and 8,082.47 is: 12,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.94 : 41,708.21 = 8,082.47 : x
  2. Step 2: Convert to fraction form
    27,803.94/41,708.21 = 8,082.47/x
  3. Step 3: Cross multiply
    27,803.94x = 41,708.21 × 8,082.47
  4. Step 4: Simplify right side
    27,803.94x = 337,105,107.13
  5. Step 5: Solve for x
    x = 337,105,107.13/27,803.94
  6. Step 6: Final answer
    x = 12,124.36

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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.