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Finding the Fourth Proportional to 26,496.80, 39,745.20 and 8,028.80

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Solution

The fourth proportional to 26,496.80, 39,745.20 and 8,028.80 is: 12,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.80 : 39,745.20 = 8,028.80 : x
  2. Step 2: Convert to fraction form
    26,496.80/39,745.20 = 8,028.80/x
  3. Step 3: Cross multiply
    26,496.80x = 39,745.20 × 8,028.80
  4. Step 4: Simplify right side
    26,496.80x = 319,106,261.76
  5. Step 5: Solve for x
    x = 319,106,261.76/26,496.80
  6. Step 6: Final answer
    x = 12,043.20

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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.