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Finding the Fourth Proportional to 27,874.26, 38,516.31 and 20,733

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Solution

The fourth proportional to 27,874.26, 38,516.31 and 20,733 is: 28,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.26 : 38,516.31 = 20,733 : x
  2. Step 2: Convert to fraction form
    27,874.26/38,516.31 = 20,733/x
  3. Step 3: Cross multiply
    27,874.26x = 38,516.31 × 20,733
  4. Step 4: Simplify right side
    27,874.26x = 798,558,655.23
  5. Step 5: Solve for x
    x = 798,558,655.23/27,874.26
  6. Step 6: Final answer
    x = 28,648.60

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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.