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Finding the Fourth Proportional to 20,873.32, 31,314.78 and 6,833.80

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Solution

The fourth proportional to 20,873.32, 31,314.78 and 6,833.80 is: 10,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.32 : 31,314.78 = 6,833.80 : x
  2. Step 2: Convert to fraction form
    20,873.32/31,314.78 = 6,833.80/x
  3. Step 3: Cross multiply
    20,873.32x = 31,314.78 × 6,833.80
  4. Step 4: Simplify right side
    20,873.32x = 213,998,943.56
  5. Step 5: Solve for x
    x = 213,998,943.56/20,873.32
  6. Step 6: Final answer
    x = 10,252.27

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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.