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Finding the Fourth Proportional to 12,099.92, 18,136.92 and 6,894.80

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Solution

The fourth proportional to 12,099.92, 18,136.92 and 6,894.80 is: 10,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.92 : 18,136.92 = 6,894.80 : x
  2. Step 2: Convert to fraction form
    12,099.92/18,136.92 = 6,894.80/x
  3. Step 3: Cross multiply
    12,099.92x = 18,136.92 × 6,894.80
  4. Step 4: Simplify right side
    12,099.92x = 125,050,436.02
  5. Step 5: Solve for x
    x = 125,050,436.02/12,099.92
  6. Step 6: Final answer
    x = 10,334.82

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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.