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Finding the Fourth Proportional to 20,672.90, 31,009.56 and 8,195.94

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Solution

The fourth proportional to 20,672.90, 31,009.56 and 8,195.94 is: 12,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.90 : 31,009.56 = 8,195.94 : x
  2. Step 2: Convert to fraction form
    20,672.90/31,009.56 = 8,195.94/x
  3. Step 3: Cross multiply
    20,672.90x = 31,009.56 × 8,195.94
  4. Step 4: Simplify right side
    20,672.90x = 254,152,493.19
  5. Step 5: Solve for x
    x = 254,152,493.19/20,672.90
  6. Step 6: Final answer
    x = 12,293.99

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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.