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Finding the Fourth Proportional to 12,644.10, 18,971.69 and 6,793.88

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Solution

The fourth proportional to 12,644.10, 18,971.69 and 6,793.88 is: 10,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.10 : 18,971.69 = 6,793.88 : x
  2. Step 2: Convert to fraction form
    12,644.10/18,971.69 = 6,793.88/x
  3. Step 3: Cross multiply
    12,644.10x = 18,971.69 × 6,793.88
  4. Step 4: Simplify right side
    12,644.10x = 128,891,256.43
  5. Step 5: Solve for x
    x = 128,891,256.43/12,644.10
  6. Step 6: Final answer
    x = 10,193.79

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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.