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Finding the Fourth Proportional to 20,850.90, 31,276.76 and 6,810.97

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Solution

The fourth proportional to 20,850.90, 31,276.76 and 6,810.97 is: 10,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.90 : 31,276.76 = 6,810.97 : x
  2. Step 2: Convert to fraction form
    20,850.90/31,276.76 = 6,810.97/x
  3. Step 3: Cross multiply
    20,850.90x = 31,276.76 × 6,810.97
  4. Step 4: Simplify right side
    20,850.90x = 213,024,961.81
  5. Step 5: Solve for x
    x = 213,024,961.81/20,850.90
  6. Step 6: Final answer
    x = 10,216.58

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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.