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Finding the Fourth Proportional to 27,885, 38,514.11 and 18,916.94

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Solution

The fourth proportional to 27,885, 38,514.11 and 18,916.94 is: 26,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885 : 38,514.11 = 18,916.94 : x
  2. Step 2: Convert to fraction form
    27,885/38,514.11 = 18,916.94/x
  3. Step 3: Cross multiply
    27,885x = 38,514.11 × 18,916.94
  4. Step 4: Simplify right side
    27,885x = 728,568,820.87
  5. Step 5: Solve for x
    x = 728,568,820.87/27,885
  6. Step 6: Final answer
    x = 26,127.62

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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.