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Finding the Fourth Proportional to 20,735.36, 31,092.96 and 7,578.80

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Solution

The fourth proportional to 20,735.36, 31,092.96 and 7,578.80 is: 11,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.36 : 31,092.96 = 7,578.80 : x
  2. Step 2: Convert to fraction form
    20,735.36/31,092.96 = 7,578.80/x
  3. Step 3: Cross multiply
    20,735.36x = 31,092.96 × 7,578.80
  4. Step 4: Simplify right side
    20,735.36x = 235,647,325.25
  5. Step 5: Solve for x
    x = 235,647,325.25/20,735.36
  6. Step 6: Final answer
    x = 11,364.52

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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.