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Finding the Fourth Proportional to 20,907.83, 31,361.75 and 9,229.25

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Solution

The fourth proportional to 20,907.83, 31,361.75 and 9,229.25 is: 13,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.83 : 31,361.75 = 9,229.25 : x
  2. Step 2: Convert to fraction form
    20,907.83/31,361.75 = 9,229.25/x
  3. Step 3: Cross multiply
    20,907.83x = 31,361.75 × 9,229.25
  4. Step 4: Simplify right side
    20,907.83x = 289,445,228.23
  5. Step 5: Solve for x
    x = 289,445,228.23/20,907.83
  6. Step 6: Final answer
    x = 13,843.87

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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.