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Finding the Fourth Proportional to 20,593.21, 28,420.40 and 11,642.31

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Solution

The fourth proportional to 20,593.21, 28,420.40 and 11,642.31 is: 16,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.21 : 28,420.40 = 11,642.31 : x
  2. Step 2: Convert to fraction form
    20,593.21/28,420.40 = 11,642.31/x
  3. Step 3: Cross multiply
    20,593.21x = 28,420.40 × 11,642.31
  4. Step 4: Simplify right side
    20,593.21x = 330,879,107.12
  5. Step 5: Solve for x
    x = 330,879,107.12/20,593.21
  6. Step 6: Final answer
    x = 16,067.39

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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.