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Finding the Fourth Proportional to 20,735.38, 28,614.83 and 11,782.89

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Solution

The fourth proportional to 20,735.38, 28,614.83 and 11,782.89 is: 16,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.38 : 28,614.83 = 11,782.89 : x
  2. Step 2: Convert to fraction form
    20,735.38/28,614.83 = 11,782.89/x
  3. Step 3: Cross multiply
    20,735.38x = 28,614.83 × 11,782.89
  4. Step 4: Simplify right side
    20,735.38x = 337,165,394.26
  5. Step 5: Solve for x
    x = 337,165,394.26/20,735.38
  6. Step 6: Final answer
    x = 16,260.39

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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.