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Finding the Fourth Proportional to 24,761.16, 37,141.74 and 7,231.14

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Solution

The fourth proportional to 24,761.16, 37,141.74 and 7,231.14 is: 10,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.16 : 37,141.74 = 7,231.14 : x
  2. Step 2: Convert to fraction form
    24,761.16/37,141.74 = 7,231.14/x
  3. Step 3: Cross multiply
    24,761.16x = 37,141.74 × 7,231.14
  4. Step 4: Simplify right side
    24,761.16x = 268,577,121.78
  5. Step 5: Solve for x
    x = 268,577,121.78/24,761.16
  6. Step 6: Final answer
    x = 10,846.71

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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.