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Finding the Fourth Proportional to 16,770, 23,136.71 and 10,057.80

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Solution

The fourth proportional to 16,770, 23,136.71 and 10,057.80 is: 13,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 23,136.71 = 10,057.80 : x
  2. Step 2: Convert to fraction form
    16,770/23,136.71 = 10,057.80/x
  3. Step 3: Cross multiply
    16,770x = 23,136.71 × 10,057.80
  4. Step 4: Simplify right side
    16,770x = 232,704,351.55
  5. Step 5: Solve for x
    x = 232,704,351.55/16,770
  6. Step 6: Final answer
    x = 13,876.23

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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.