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Finding the Fourth Proportional to 19,724.42, 29,576.43 and 7,241.24

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Solution

The fourth proportional to 19,724.42, 29,576.43 and 7,241.24 is: 10,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.42 : 29,576.43 = 7,241.24 : x
  2. Step 2: Convert to fraction form
    19,724.42/29,576.43 = 7,241.24/x
  3. Step 3: Cross multiply
    19,724.42x = 29,576.43 × 7,241.24
  4. Step 4: Simplify right side
    19,724.42x = 214,170,027.97
  5. Step 5: Solve for x
    x = 214,170,027.97/19,724.42
  6. Step 6: Final answer
    x = 10,858.12

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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.