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Finding the Fourth Proportional to 27,706.66, 38,249.45 and 16,379.62

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Solution

The fourth proportional to 27,706.66, 38,249.45 and 16,379.62 is: 22,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.66 : 38,249.45 = 16,379.62 : x
  2. Step 2: Convert to fraction form
    27,706.66/38,249.45 = 16,379.62/x
  3. Step 3: Cross multiply
    27,706.66x = 38,249.45 × 16,379.62
  4. Step 4: Simplify right side
    27,706.66x = 626,511,340.11
  5. Step 5: Solve for x
    x = 626,511,340.11/27,706.66
  6. Step 6: Final answer
    x = 22,612.30

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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.