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Finding the Fourth Proportional to 27,947.34, 38,553.75 and 16,608.80

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Solution

The fourth proportional to 27,947.34, 38,553.75 and 16,608.80 is: 22,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.34 : 38,553.75 = 16,608.80 : x
  2. Step 2: Convert to fraction form
    27,947.34/38,553.75 = 16,608.80/x
  3. Step 3: Cross multiply
    27,947.34x = 38,553.75 × 16,608.80
  4. Step 4: Simplify right side
    27,947.34x = 640,331,619.38
  5. Step 5: Solve for x
    x = 640,331,619.38/27,947.34
  6. Step 6: Final answer
    x = 22,912.08

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Why These Related Problems?

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