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Finding the Fourth Proportional to 20,917.14, 31,369.05 and 6,873.90

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Solution

The fourth proportional to 20,917.14, 31,369.05 and 6,873.90 is: 10,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.14 : 31,369.05 = 6,873.90 : x
  2. Step 2: Convert to fraction form
    20,917.14/31,369.05 = 6,873.90/x
  3. Step 3: Cross multiply
    20,917.14x = 31,369.05 × 6,873.90
  4. Step 4: Simplify right side
    20,917.14x = 215,627,521.58
  5. Step 5: Solve for x
    x = 215,627,521.58/20,917.14
  6. Step 6: Final answer
    x = 10,308.65

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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.