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Finding the Fourth Proportional to 27,872.81, 38,461.87 and 16,540.34

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Solution

The fourth proportional to 27,872.81, 38,461.87 and 16,540.34 is: 22,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.81 : 38,461.87 = 16,540.34 : x
  2. Step 2: Convert to fraction form
    27,872.81/38,461.87 = 16,540.34/x
  3. Step 3: Cross multiply
    27,872.81x = 38,461.87 × 16,540.34
  4. Step 4: Simplify right side
    27,872.81x = 636,172,235.20
  5. Step 5: Solve for x
    x = 636,172,235.20/27,872.81
  6. Step 6: Final answer
    x = 22,824.12

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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.