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Finding the Fourth Proportional to 27,638.38, 38,141.09 and 15,702.37

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Solution

The fourth proportional to 27,638.38, 38,141.09 and 15,702.37 is: 21,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.38 : 38,141.09 = 15,702.37 : x
  2. Step 2: Convert to fraction form
    27,638.38/38,141.09 = 15,702.37/x
  3. Step 3: Cross multiply
    27,638.38x = 38,141.09 × 15,702.37
  4. Step 4: Simplify right side
    27,638.38x = 598,905,507.38
  5. Step 5: Solve for x
    x = 598,905,507.38/27,638.38
  6. Step 6: Final answer
    x = 21,669.34

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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.