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Finding the Fourth Proportional to 26,542.80, 39,814.08 and 12,649.68

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Solution

The fourth proportional to 26,542.80, 39,814.08 and 12,649.68 is: 18,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.80 : 39,814.08 = 12,649.68 : x
  2. Step 2: Convert to fraction form
    26,542.80/39,814.08 = 12,649.68/x
  3. Step 3: Cross multiply
    26,542.80x = 39,814.08 × 12,649.68
  4. Step 4: Simplify right side
    26,542.80x = 503,635,371.49
  5. Step 5: Solve for x
    x = 503,635,371.49/26,542.80
  6. Step 6: Final answer
    x = 18,974.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.