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Finding the Fourth Proportional to 16,097.60, 24,136.80 and 8,321.60

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Solution

The fourth proportional to 16,097.60, 24,136.80 and 8,321.60 is: 12,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.60 : 24,136.80 = 8,321.60 : x
  2. Step 2: Convert to fraction form
    16,097.60/24,136.80 = 8,321.60/x
  3. Step 3: Cross multiply
    16,097.60x = 24,136.80 × 8,321.60
  4. Step 4: Simplify right side
    16,097.60x = 200,856,794.88
  5. Step 5: Solve for x
    x = 200,856,794.88/16,097.60
  6. Step 6: Final answer
    x = 12,477.44

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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.