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Finding the Fourth Proportional to 19,724.67, 29,576.81 and 7,241.49

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Solution

The fourth proportional to 19,724.67, 29,576.81 and 7,241.49 is: 10,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.67 : 29,576.81 = 7,241.49 : x
  2. Step 2: Convert to fraction form
    19,724.67/29,576.81 = 7,241.49/x
  3. Step 3: Cross multiply
    19,724.67x = 29,576.81 × 7,241.49
  4. Step 4: Simplify right side
    19,724.67x = 214,180,137.64
  5. Step 5: Solve for x
    x = 214,180,137.64/19,724.67
  6. Step 6: Final answer
    x = 10,858.49

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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.