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Finding the Fourth Proportional to 27,811.89, 41,613.15 and 19,508.13

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Solution

The fourth proportional to 27,811.89, 41,613.15 and 19,508.13 is: 29,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.89 : 41,613.15 = 19,508.13 : x
  2. Step 2: Convert to fraction form
    27,811.89/41,613.15 = 19,508.13/x
  3. Step 3: Cross multiply
    27,811.89x = 41,613.15 × 19,508.13
  4. Step 4: Simplify right side
    27,811.89x = 811,794,739.91
  5. Step 5: Solve for x
    x = 811,794,739.91/27,811.89
  6. Step 6: Final answer
    x = 29,188.77

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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.