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Finding the Fourth Proportional to 13,382.00, 20,072.22 and 4,021.82

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Solution

The fourth proportional to 13,382.00, 20,072.22 and 4,021.82 is: 6,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.00 : 20,072.22 = 4,021.82 : x
  2. Step 2: Convert to fraction form
    13,382.00/20,072.22 = 4,021.82/x
  3. Step 3: Cross multiply
    13,382.00x = 20,072.22 × 4,021.82
  4. Step 4: Simplify right side
    13,382.00x = 80,726,755.48
  5. Step 5: Solve for x
    x = 80,726,755.48/13,382.00
  6. Step 6: Final answer
    x = 6,032.49

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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.