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Finding the Fourth Proportional to 27,194.74, 40,718.30 and 14,021.10

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Solution

The fourth proportional to 27,194.74, 40,718.30 and 14,021.10 is: 20,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.74 : 40,718.30 = 14,021.10 : x
  2. Step 2: Convert to fraction form
    27,194.74/40,718.30 = 14,021.10/x
  3. Step 3: Cross multiply
    27,194.74x = 40,718.30 × 14,021.10
  4. Step 4: Simplify right side
    27,194.74x = 570,915,286.02
  5. Step 5: Solve for x
    x = 570,915,286.02/27,194.74
  6. Step 6: Final answer
    x = 20,993.59

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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.