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Finding the Fourth Proportional to 24,241.04, 36,361.48 and 7,825.04

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Solution

The fourth proportional to 24,241.04, 36,361.48 and 7,825.04 is: 11,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.04 : 36,361.48 = 7,825.04 : x
  2. Step 2: Convert to fraction form
    24,241.04/36,361.48 = 7,825.04/x
  3. Step 3: Cross multiply
    24,241.04x = 36,361.48 × 7,825.04
  4. Step 4: Simplify right side
    24,241.04x = 284,530,035.46
  5. Step 5: Solve for x
    x = 284,530,035.46/24,241.04
  6. Step 6: Final answer
    x = 11,737.53

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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.