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Finding the Fourth Proportional to 27,311.67, 40,955.91 and 11,523.78

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Solution

The fourth proportional to 27,311.67, 40,955.91 and 11,523.78 is: 17,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.67 : 40,955.91 = 11,523.78 : x
  2. Step 2: Convert to fraction form
    27,311.67/40,955.91 = 11,523.78/x
  3. Step 3: Cross multiply
    27,311.67x = 40,955.91 × 11,523.78
  4. Step 4: Simplify right side
    27,311.67x = 471,966,896.54
  5. Step 5: Solve for x
    x = 471,966,896.54/27,311.67
  6. Step 6: Final answer
    x = 17,280.78

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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.