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Finding the Fourth Proportional to 26,496.41, 39,744.61 and 8,978.54

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Solution

The fourth proportional to 26,496.41, 39,744.61 and 8,978.54 is: 13,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.41 : 39,744.61 = 8,978.54 : x
  2. Step 2: Convert to fraction form
    26,496.41/39,744.61 = 8,978.54/x
  3. Step 3: Cross multiply
    26,496.41x = 39,744.61 × 8,978.54
  4. Step 4: Simplify right side
    26,496.41x = 356,848,349.50
  5. Step 5: Solve for x
    x = 356,848,349.50/26,496.41
  6. Step 6: Final answer
    x = 13,467.80

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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.