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Finding the Fourth Proportional to 13,781.66, 20,673.17 and 3,922.39

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Solution

The fourth proportional to 13,781.66, 20,673.17 and 3,922.39 is: 5,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.66 : 20,673.17 = 3,922.39 : x
  2. Step 2: Convert to fraction form
    13,781.66/20,673.17 = 3,922.39/x
  3. Step 3: Cross multiply
    13,781.66x = 20,673.17 × 3,922.39
  4. Step 4: Simplify right side
    13,781.66x = 81,088,256.21
  5. Step 5: Solve for x
    x = 81,088,256.21/13,781.66
  6. Step 6: Final answer
    x = 5,883.78

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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.