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Finding the Fourth Proportional to 27,609.86, 38,096.37 and 16,282.91

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Solution

The fourth proportional to 27,609.86, 38,096.37 and 16,282.91 is: 22,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609.86 : 38,096.37 = 16,282.91 : x
  2. Step 2: Convert to fraction form
    27,609.86/38,096.37 = 16,282.91/x
  3. Step 3: Cross multiply
    27,609.86x = 38,096.37 × 16,282.91
  4. Step 4: Simplify right side
    27,609.86x = 620,319,764.04
  5. Step 5: Solve for x
    x = 620,319,764.04/27,609.86
  6. Step 6: Final answer
    x = 22,467.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.