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Finding the Fourth Proportional to 27,162.27, 40,745.97 and 9,627.93

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Solution

The fourth proportional to 27,162.27, 40,745.97 and 9,627.93 is: 14,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.27 : 40,745.97 = 9,627.93 : x
  2. Step 2: Convert to fraction form
    27,162.27/40,745.97 = 9,627.93/x
  3. Step 3: Cross multiply
    27,162.27x = 40,745.97 × 9,627.93
  4. Step 4: Simplify right side
    27,162.27x = 392,299,346.94
  5. Step 5: Solve for x
    x = 392,299,346.94/27,162.27
  6. Step 6: Final answer
    x = 14,442.80

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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.