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Finding the Fourth Proportional to 23,318.49, 34,982.73 and 7,524.42

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Solution

The fourth proportional to 23,318.49, 34,982.73 and 7,524.42 is: 11,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,318.49 : 34,982.73 = 7,524.42 : x
  2. Step 2: Convert to fraction form
    23,318.49/34,982.73 = 7,524.42/x
  3. Step 3: Cross multiply
    23,318.49x = 34,982.73 × 7,524.42
  4. Step 4: Simplify right side
    23,318.49x = 263,224,753.27
  5. Step 5: Solve for x
    x = 263,224,753.27/23,318.49
  6. Step 6: Final answer
    x = 11,288.24

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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.