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Finding the Fourth Proportional to 23,136.30, 34,683.67 and 8,334.87

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Solution

The fourth proportional to 23,136.30, 34,683.67 and 8,334.87 is: 12,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.30 : 34,683.67 = 8,334.87 : x
  2. Step 2: Convert to fraction form
    23,136.30/34,683.67 = 8,334.87/x
  3. Step 3: Cross multiply
    23,136.30x = 34,683.67 × 8,334.87
  4. Step 4: Simplify right side
    23,136.30x = 289,083,880.57
  5. Step 5: Solve for x
    x = 289,083,880.57/23,136.30
  6. Step 6: Final answer
    x = 12,494.82

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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.