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Finding the Fourth Proportional to 27,676.20, 41,514.16 and 16,586.20

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Solution

The fourth proportional to 27,676.20, 41,514.16 and 16,586.20 is: 24,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.20 : 41,514.16 = 16,586.20 : x
  2. Step 2: Convert to fraction form
    27,676.20/41,514.16 = 16,586.20/x
  3. Step 3: Cross multiply
    27,676.20x = 41,514.16 × 16,586.20
  4. Step 4: Simplify right side
    27,676.20x = 688,562,160.59
  5. Step 5: Solve for x
    x = 688,562,160.59/27,676.20
  6. Step 6: Final answer
    x = 24,879.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.