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Finding the Fourth Proportional to 27,714.92, 41,572.38 and 6,938.42

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Solution

The fourth proportional to 27,714.92, 41,572.38 and 6,938.42 is: 10,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.92 : 41,572.38 = 6,938.42 : x
  2. Step 2: Convert to fraction form
    27,714.92/41,572.38 = 6,938.42/x
  3. Step 3: Cross multiply
    27,714.92x = 41,572.38 × 6,938.42
  4. Step 4: Simplify right side
    27,714.92x = 288,446,632.84
  5. Step 5: Solve for x
    x = 288,446,632.84/27,714.92
  6. Step 6: Final answer
    x = 10,407.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.