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Finding the Fourth Proportional to 20,683.14, 31,028.13 and 8,203.23

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Solution

The fourth proportional to 20,683.14, 31,028.13 and 8,203.23 is: 12,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.14 : 31,028.13 = 8,203.23 : x
  2. Step 2: Convert to fraction form
    20,683.14/31,028.13 = 8,203.23/x
  3. Step 3: Cross multiply
    20,683.14x = 31,028.13 × 8,203.23
  4. Step 4: Simplify right side
    20,683.14x = 254,530,886.86
  5. Step 5: Solve for x
    x = 254,530,886.86/20,683.14
  6. Step 6: Final answer
    x = 12,306.20

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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.