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Finding the Fourth Proportional to 20,682.60, 31,023.90 and 6,829.80

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Solution

The fourth proportional to 20,682.60, 31,023.90 and 6,829.80 is: 10,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.60 : 31,023.90 = 6,829.80 : x
  2. Step 2: Convert to fraction form
    20,682.60/31,023.90 = 6,829.80/x
  3. Step 3: Cross multiply
    20,682.60x = 31,023.90 × 6,829.80
  4. Step 4: Simplify right side
    20,682.60x = 211,887,032.22
  5. Step 5: Solve for x
    x = 211,887,032.22/20,682.60
  6. Step 6: Final answer
    x = 10,244.70

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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.