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Finding the Fourth Proportional to 13,644.97, 20,465.12 and 3,781.94

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Solution

The fourth proportional to 13,644.97, 20,465.12 and 3,781.94 is: 5,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.97 : 20,465.12 = 3,781.94 : x
  2. Step 2: Convert to fraction form
    13,644.97/20,465.12 = 3,781.94/x
  3. Step 3: Cross multiply
    13,644.97x = 20,465.12 × 3,781.94
  4. Step 4: Simplify right side
    13,644.97x = 77,397,763.06
  5. Step 5: Solve for x
    x = 77,397,763.06/13,644.97
  6. Step 6: Final answer
    x = 5,672.26

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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.