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Finding the Fourth Proportional to 29,224.24, 43,846.54 and 9,236.80

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Solution

The fourth proportional to 29,224.24, 43,846.54 and 9,236.80 is: 13,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.24 : 43,846.54 = 9,236.80 : x
  2. Step 2: Convert to fraction form
    29,224.24/43,846.54 = 9,236.80/x
  3. Step 3: Cross multiply
    29,224.24x = 43,846.54 × 9,236.80
  4. Step 4: Simplify right side
    29,224.24x = 405,001,720.67
  5. Step 5: Solve for x
    x = 405,001,720.67/29,224.24
  6. Step 6: Final answer
    x = 13,858.42

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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.