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Finding the Fourth Proportional to 20,879.84, 31,316.34 and 6,839.66

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Solution

The fourth proportional to 20,879.84, 31,316.34 and 6,839.66 is: 10,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.84 : 31,316.34 = 6,839.66 : x
  2. Step 2: Convert to fraction form
    20,879.84/31,316.34 = 6,839.66/x
  3. Step 3: Cross multiply
    20,879.84x = 31,316.34 × 6,839.66
  4. Step 4: Simplify right side
    20,879.84x = 214,193,118.04
  5. Step 5: Solve for x
    x = 214,193,118.04/20,879.84
  6. Step 6: Final answer
    x = 10,258.37

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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.