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Finding the Fourth Proportional to 20,770.70, 28,662.54 and 11,817.36

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Solution

The fourth proportional to 20,770.70, 28,662.54 and 11,817.36 is: 16,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.70 : 28,662.54 = 11,817.36 : x
  2. Step 2: Convert to fraction form
    20,770.70/28,662.54 = 11,817.36/x
  3. Step 3: Cross multiply
    20,770.70x = 28,662.54 × 11,817.36
  4. Step 4: Simplify right side
    20,770.70x = 338,715,553.69
  5. Step 5: Solve for x
    x = 338,715,553.69/20,770.70
  6. Step 6: Final answer
    x = 16,307.38

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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.