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Finding the Fourth Proportional to 24,811.89, 37,234.39 and 9,231.09

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Solution

The fourth proportional to 24,811.89, 37,234.39 and 9,231.09 is: 13,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.89 : 37,234.39 = 9,231.09 : x
  2. Step 2: Convert to fraction form
    24,811.89/37,234.39 = 9,231.09/x
  3. Step 3: Cross multiply
    24,811.89x = 37,234.39 × 9,231.09
  4. Step 4: Simplify right side
    24,811.89x = 343,714,005.19
  5. Step 5: Solve for x
    x = 343,714,005.19/24,811.89
  6. Step 6: Final answer
    x = 13,852.79

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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.