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Finding the Fourth Proportional to 11,817.69, 17,726.70 and 2,933.03

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Solution

The fourth proportional to 11,817.69, 17,726.70 and 2,933.03 is: 4,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.69 : 17,726.70 = 2,933.03 : x
  2. Step 2: Convert to fraction form
    11,817.69/17,726.70 = 2,933.03/x
  3. Step 3: Cross multiply
    11,817.69x = 17,726.70 × 2,933.03
  4. Step 4: Simplify right side
    11,817.69x = 51,992,942.90
  5. Step 5: Solve for x
    x = 51,992,942.90/11,817.69
  6. Step 6: Final answer
    x = 4,399.59

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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.