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Finding the Fourth Proportional to 20,917, 31,368.85 and 6,873.79

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Solution

The fourth proportional to 20,917, 31,368.85 and 6,873.79 is: 10,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917 : 31,368.85 = 6,873.79 : x
  2. Step 2: Convert to fraction form
    20,917/31,368.85 = 6,873.79/x
  3. Step 3: Cross multiply
    20,917x = 31,368.85 × 6,873.79
  4. Step 4: Simplify right side
    20,917x = 215,622,887.44
  5. Step 5: Solve for x
    x = 215,622,887.44/20,917
  6. Step 6: Final answer
    x = 10,308.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.