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Finding the Fourth Proportional to 26,379.94, 39,578.01 and 10,798.78

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Solution

The fourth proportional to 26,379.94, 39,578.01 and 10,798.78 is: 16,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,379.94 : 39,578.01 = 10,798.78 : x
  2. Step 2: Convert to fraction form
    26,379.94/39,578.01 = 10,798.78/x
  3. Step 3: Cross multiply
    26,379.94x = 39,578.01 × 10,798.78
  4. Step 4: Simplify right side
    26,379.94x = 427,394,222.83
  5. Step 5: Solve for x
    x = 427,394,222.83/26,379.94
  6. Step 6: Final answer
    x = 16,201.49

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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.