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Finding the Fourth Proportional to 21,138.06, 31,673.07 and 12,380.34

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Solution

The fourth proportional to 21,138.06, 31,673.07 and 12,380.34 is: 18,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.06 : 31,673.07 = 12,380.34 : x
  2. Step 2: Convert to fraction form
    21,138.06/31,673.07 = 12,380.34/x
  3. Step 3: Cross multiply
    21,138.06x = 31,673.07 × 12,380.34
  4. Step 4: Simplify right side
    21,138.06x = 392,123,375.44
  5. Step 5: Solve for x
    x = 392,123,375.44/21,138.06
  6. Step 6: Final answer
    x = 18,550.58

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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.