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Finding the Fourth Proportional to 20,907.60, 31,361.01 and 8,427.29

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Solution

The fourth proportional to 20,907.60, 31,361.01 and 8,427.29 is: 12,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.60 : 31,361.01 = 8,427.29 : x
  2. Step 2: Convert to fraction form
    20,907.60/31,361.01 = 8,427.29/x
  3. Step 3: Cross multiply
    20,907.60x = 31,361.01 × 8,427.29
  4. Step 4: Simplify right side
    20,907.60x = 264,288,325.96
  5. Step 5: Solve for x
    x = 264,288,325.96/20,907.60
  6. Step 6: Final answer
    x = 12,640.78

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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.