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Finding the Fourth Proportional to 20,794.10, 31,200.09 and 6,758.43

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Solution

The fourth proportional to 20,794.10, 31,200.09 and 6,758.43 is: 10,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.10 : 31,200.09 = 6,758.43 : x
  2. Step 2: Convert to fraction form
    20,794.10/31,200.09 = 6,758.43/x
  3. Step 3: Cross multiply
    20,794.10x = 31,200.09 × 6,758.43
  4. Step 4: Simplify right side
    20,794.10x = 210,863,695.43
  5. Step 5: Solve for x
    x = 210,863,695.43/20,794.10
  6. Step 6: Final answer
    x = 10,140.55

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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.