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Finding the Fourth Proportional to 20,917.35, 31,367.79 and 8,435.07

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Solution

The fourth proportional to 20,917.35, 31,367.79 and 8,435.07 is: 12,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.35 : 31,367.79 = 8,435.07 : x
  2. Step 2: Convert to fraction form
    20,917.35/31,367.79 = 8,435.07/x
  3. Step 3: Cross multiply
    20,917.35x = 31,367.79 × 8,435.07
  4. Step 4: Simplify right side
    20,917.35x = 264,589,504.40
  5. Step 5: Solve for x
    x = 264,589,504.40/20,917.35
  6. Step 6: Final answer
    x = 12,649.28

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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.