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Finding the Fourth Proportional to 27,162.24, 40,749.13 and 8,441.82

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Solution

The fourth proportional to 27,162.24, 40,749.13 and 8,441.82 is: 12,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162.24 : 40,749.13 = 8,441.82 : x
  2. Step 2: Convert to fraction form
    27,162.24/40,749.13 = 8,441.82/x
  3. Step 3: Cross multiply
    27,162.24x = 40,749.13 × 8,441.82
  4. Step 4: Simplify right side
    27,162.24x = 343,996,783.68
  5. Step 5: Solve for x
    x = 343,996,783.68/27,162.24
  6. Step 6: Final answer
    x = 12,664.52

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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.