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Finding the Fourth Proportional to 27,162.32, 40,741.52 and 8,441.92

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Solution

The fourth proportional to 27,162.32, 40,741.52 and 8,441.92 is: 12,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.32 : 40,741.52 = 8,441.92 : x
  2. Step 2: Convert to fraction form
    27,162.32/40,741.52 = 8,441.92/x
  3. Step 3: Cross multiply
    27,162.32x = 40,741.52 × 8,441.92
  4. Step 4: Simplify right side
    27,162.32x = 343,936,652.52
  5. Step 5: Solve for x
    x = 343,936,652.52/27,162.32
  6. Step 6: Final answer
    x = 12,662.27

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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.