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Finding the Fourth Proportional to 20,827.35, 31,241.06 and 6,976.35

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Solution

The fourth proportional to 20,827.35, 31,241.06 and 6,976.35 is: 10,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.35 : 31,241.06 = 6,976.35 : x
  2. Step 2: Convert to fraction form
    20,827.35/31,241.06 = 6,976.35/x
  3. Step 3: Cross multiply
    20,827.35x = 31,241.06 × 6,976.35
  4. Step 4: Simplify right side
    20,827.35x = 217,948,534.05
  5. Step 5: Solve for x
    x = 217,948,534.05/20,827.35
  6. Step 6: Final answer
    x = 10,464.54

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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.