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Finding the Fourth Proportional to 12,164.87, 18,223.01 and 11,136.98

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Solution

The fourth proportional to 12,164.87, 18,223.01 and 11,136.98 is: 16,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.87 : 18,223.01 = 11,136.98 : x
  2. Step 2: Convert to fraction form
    12,164.87/18,223.01 = 11,136.98/x
  3. Step 3: Cross multiply
    12,164.87x = 18,223.01 × 11,136.98
  4. Step 4: Simplify right side
    12,164.87x = 202,949,329.55
  5. Step 5: Solve for x
    x = 202,949,329.55/12,164.87
  6. Step 6: Final answer
    x = 16,683.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.