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Finding the Fourth Proportional to 27,407.43, 41,098.19 and 12,611.97

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Solution

The fourth proportional to 27,407.43, 41,098.19 and 12,611.97 is: 18,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.43 : 41,098.19 = 12,611.97 : x
  2. Step 2: Convert to fraction form
    27,407.43/41,098.19 = 12,611.97/x
  3. Step 3: Cross multiply
    27,407.43x = 41,098.19 × 12,611.97
  4. Step 4: Simplify right side
    27,407.43x = 518,329,076.27
  5. Step 5: Solve for x
    x = 518,329,076.27/27,407.43
  6. Step 6: Final answer
    x = 18,911.99

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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.