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Finding the Fourth Proportional to 27,561.31, 38,033.49 and 16,231.28

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Solution

The fourth proportional to 27,561.31, 38,033.49 and 16,231.28 is: 22,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561.31 : 38,033.49 = 16,231.28 : x
  2. Step 2: Convert to fraction form
    27,561.31/38,033.49 = 16,231.28/x
  3. Step 3: Cross multiply
    27,561.31x = 38,033.49 × 16,231.28
  4. Step 4: Simplify right side
    27,561.31x = 617,332,169.34
  5. Step 5: Solve for x
    x = 617,332,169.34/27,561.31
  6. Step 6: Final answer
    x = 22,398.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.