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Finding the Fourth Proportional to 27,096.75, 40,643.91 and 11,295.27

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Solution

The fourth proportional to 27,096.75, 40,643.91 and 11,295.27 is: 16,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096.75 : 40,643.91 = 11,295.27 : x
  2. Step 2: Convert to fraction form
    27,096.75/40,643.91 = 11,295.27/x
  3. Step 3: Cross multiply
    27,096.75x = 40,643.91 × 11,295.27
  4. Step 4: Simplify right side
    27,096.75x = 459,083,937.31
  5. Step 5: Solve for x
    x = 459,083,937.31/27,096.75
  6. Step 6: Final answer
    x = 16,942.40

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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.