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Finding the Fourth Proportional to 20,578.80, 30,791.64 and 12,263.36

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Solution

The fourth proportional to 20,578.80, 30,791.64 and 12,263.36 is: 18,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.80 : 30,791.64 = 12,263.36 : x
  2. Step 2: Convert to fraction form
    20,578.80/30,791.64 = 12,263.36/x
  3. Step 3: Cross multiply
    20,578.80x = 30,791.64 × 12,263.36
  4. Step 4: Simplify right side
    20,578.80x = 377,608,966.31
  5. Step 5: Solve for x
    x = 377,608,966.31/20,578.80
  6. Step 6: Final answer
    x = 18,349.42

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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.