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Finding the Fourth Proportional to 23,136.96, 34,704.81 and 6,497.13

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Solution

The fourth proportional to 23,136.96, 34,704.81 and 6,497.13 is: 9,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.96 : 34,704.81 = 6,497.13 : x
  2. Step 2: Convert to fraction form
    23,136.96/34,704.81 = 6,497.13/x
  3. Step 3: Cross multiply
    23,136.96x = 34,704.81 × 6,497.13
  4. Step 4: Simplify right side
    23,136.96x = 225,481,662.20
  5. Step 5: Solve for x
    x = 225,481,662.20/23,136.96
  6. Step 6: Final answer
    x = 9,745.52

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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.