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Finding the Fourth Proportional to 27,638.80, 38,141.40 and 15,063.44

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Solution

The fourth proportional to 27,638.80, 38,141.40 and 15,063.44 is: 20,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.80 : 38,141.40 = 15,063.44 : x
  2. Step 2: Convert to fraction form
    27,638.80/38,141.40 = 15,063.44/x
  3. Step 3: Cross multiply
    27,638.80x = 38,141.40 × 15,063.44
  4. Step 4: Simplify right side
    27,638.80x = 574,540,690.42
  5. Step 5: Solve for x
    x = 574,540,690.42/27,638.80
  6. Step 6: Final answer
    x = 20,787.47

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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.