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Finding the Fourth Proportional to 20,207.68, 27,893.07 and 13,037.80

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Solution

The fourth proportional to 20,207.68, 27,893.07 and 13,037.80 is: 17,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.68 : 27,893.07 = 13,037.80 : x
  2. Step 2: Convert to fraction form
    20,207.68/27,893.07 = 13,037.80/x
  3. Step 3: Cross multiply
    20,207.68x = 27,893.07 × 13,037.80
  4. Step 4: Simplify right side
    20,207.68x = 363,664,213.94
  5. Step 5: Solve for x
    x = 363,664,213.94/20,207.68
  6. Step 6: Final answer
    x = 17,996.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.