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Finding the Fourth Proportional to 20,161.60, 30,246.93 and 6,833.84

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Solution

The fourth proportional to 20,161.60, 30,246.93 and 6,833.84 is: 10,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.60 : 30,246.93 = 6,833.84 : x
  2. Step 2: Convert to fraction form
    20,161.60/30,246.93 = 6,833.84/x
  3. Step 3: Cross multiply
    20,161.60x = 30,246.93 × 6,833.84
  4. Step 4: Simplify right side
    20,161.60x = 206,702,528.88
  5. Step 5: Solve for x
    x = 206,702,528.88/20,161.60
  6. Step 6: Final answer
    x = 10,252.29

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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.