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Finding the Fourth Proportional to 20,544, 30,772.26 and 19,393.80

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Solution

The fourth proportional to 20,544, 30,772.26 and 19,393.80 is: 29,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 30,772.26 = 19,393.80 : x
  2. Step 2: Convert to fraction form
    20,544/30,772.26 = 19,393.80/x
  3. Step 3: Cross multiply
    20,544x = 30,772.26 × 19,393.80
  4. Step 4: Simplify right side
    20,544x = 596,791,055.99
  5. Step 5: Solve for x
    x = 596,791,055.99/20,544
  6. Step 6: Final answer
    x = 29,049.41

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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.