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Finding the Fourth Proportional to 12,136.90, 18,212.43 and 5,116.49

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Solution

The fourth proportional to 12,136.90, 18,212.43 and 5,116.49 is: 7,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.90 : 18,212.43 = 5,116.49 : x
  2. Step 2: Convert to fraction form
    12,136.90/18,212.43 = 5,116.49/x
  3. Step 3: Cross multiply
    12,136.90x = 18,212.43 × 5,116.49
  4. Step 4: Simplify right side
    12,136.90x = 93,183,624.91
  5. Step 5: Solve for x
    x = 93,183,624.91/12,136.90
  6. Step 6: Final answer
    x = 7,677.71

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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.