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Finding the Fourth Proportional to 12,136.87, 18,197.76 and 5,113.26

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Solution

The fourth proportional to 12,136.87, 18,197.76 and 5,113.26 is: 7,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.87 : 18,197.76 = 5,113.26 : x
  2. Step 2: Convert to fraction form
    12,136.87/18,197.76 = 5,113.26/x
  3. Step 3: Cross multiply
    12,136.87x = 18,197.76 × 5,113.26
  4. Step 4: Simplify right side
    12,136.87x = 93,049,852.73
  5. Step 5: Solve for x
    x = 93,049,852.73/12,136.87
  6. Step 6: Final answer
    x = 7,666.71

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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.