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Finding the Fourth Proportional to 12,136.81, 18,212.29 and 5,116.39

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Solution

The fourth proportional to 12,136.81, 18,212.29 and 5,116.39 is: 7,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.81 : 18,212.29 = 5,116.39 : x
  2. Step 2: Convert to fraction form
    12,136.81/18,212.29 = 5,116.39/x
  3. Step 3: Cross multiply
    12,136.81x = 18,212.29 × 5,116.39
  4. Step 4: Simplify right side
    12,136.81x = 93,181,188.41
  5. Step 5: Solve for x
    x = 93,181,188.41/12,136.81
  6. Step 6: Final answer
    x = 7,677.57

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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.