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Finding the Fourth Proportional to 27,609.71, 38,100.38 and 16,872.55

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Solution

The fourth proportional to 27,609.71, 38,100.38 and 16,872.55 is: 23,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609.71 : 38,100.38 = 16,872.55 : x
  2. Step 2: Convert to fraction form
    27,609.71/38,100.38 = 16,872.55/x
  3. Step 3: Cross multiply
    27,609.71x = 38,100.38 × 16,872.55
  4. Step 4: Simplify right side
    27,609.71x = 642,850,553.91
  5. Step 5: Solve for x
    x = 642,850,553.91/27,609.71
  6. Step 6: Final answer
    x = 23,283.50

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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.