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Finding the Fourth Proportional to 23,136.53, 34,706.21 and 6,497.91

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Solution

The fourth proportional to 23,136.53, 34,706.21 and 6,497.91 is: 9,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.53 : 34,706.21 = 6,497.91 : x
  2. Step 2: Convert to fraction form
    23,136.53/34,706.21 = 6,497.91/x
  3. Step 3: Cross multiply
    23,136.53x = 34,706.21 × 6,497.91
  4. Step 4: Simplify right side
    23,136.53x = 225,517,796.53
  5. Step 5: Solve for x
    x = 225,517,796.53/23,136.53
  6. Step 6: Final answer
    x = 9,747.26

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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.