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Finding the Fourth Proportional to 14,136.50, 19,512.66 and 8,172.38

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Solution

The fourth proportional to 14,136.50, 19,512.66 and 8,172.38 is: 11,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.50 : 19,512.66 = 8,172.38 : x
  2. Step 2: Convert to fraction form
    14,136.50/19,512.66 = 8,172.38/x
  3. Step 3: Cross multiply
    14,136.50x = 19,512.66 × 8,172.38
  4. Step 4: Simplify right side
    14,136.50x = 159,464,872.33
  5. Step 5: Solve for x
    x = 159,464,872.33/14,136.50
  6. Step 6: Final answer
    x = 11,280.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.