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Finding the Fourth Proportional to 27,638.96, 38,141.76 and 15,063.71

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Solution

The fourth proportional to 27,638.96, 38,141.76 and 15,063.71 is: 20,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.96 : 38,141.76 = 15,063.71 : x
  2. Step 2: Convert to fraction form
    27,638.96/38,141.76 = 15,063.71/x
  3. Step 3: Cross multiply
    27,638.96x = 38,141.76 × 15,063.71
  4. Step 4: Simplify right side
    27,638.96x = 574,556,220.82
  5. Step 5: Solve for x
    x = 574,556,220.82/27,638.96
  6. Step 6: Final answer
    x = 20,787.91

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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.