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Finding the Fourth Proportional to 14,136.70, 21,205.05 and 8,231.80

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Solution

The fourth proportional to 14,136.70, 21,205.05 and 8,231.80 is: 12,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.70 : 21,205.05 = 8,231.80 : x
  2. Step 2: Convert to fraction form
    14,136.70/21,205.05 = 8,231.80/x
  3. Step 3: Cross multiply
    14,136.70x = 21,205.05 × 8,231.80
  4. Step 4: Simplify right side
    14,136.70x = 174,555,730.59
  5. Step 5: Solve for x
    x = 174,555,730.59/14,136.70
  6. Step 6: Final answer
    x = 12,347.70

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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.