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Finding the Fourth Proportional to 27,676.42, 41,514.50 and 10,811.14

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Solution

The fourth proportional to 27,676.42, 41,514.50 and 10,811.14 is: 16,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.42 : 41,514.50 = 10,811.14 : x
  2. Step 2: Convert to fraction form
    27,676.42/41,514.50 = 10,811.14/x
  3. Step 3: Cross multiply
    27,676.42x = 41,514.50 × 10,811.14
  4. Step 4: Simplify right side
    27,676.42x = 448,819,071.53
  5. Step 5: Solve for x
    x = 448,819,071.53/27,676.42
  6. Step 6: Final answer
    x = 16,216.66

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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.