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Finding the Fourth Proportional to 27,671.18, 41,514.74 and 13,635.42

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Solution

The fourth proportional to 27,671.18, 41,514.74 and 13,635.42 is: 20,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.18 : 41,514.74 = 13,635.42 : x
  2. Step 2: Convert to fraction form
    27,671.18/41,514.74 = 13,635.42/x
  3. Step 3: Cross multiply
    27,671.18x = 41,514.74 × 13,635.42
  4. Step 4: Simplify right side
    27,671.18x = 566,070,847.91
  5. Step 5: Solve for x
    x = 566,070,847.91/27,671.18
  6. Step 6: Final answer
    x = 20,457.06

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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.