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Finding the Fourth Proportional to 20,930.90, 31,400.34 and 6,894.99

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Solution

The fourth proportional to 20,930.90, 31,400.34 and 6,894.99 is: 10,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.90 : 31,400.34 = 6,894.99 : x
  2. Step 2: Convert to fraction form
    20,930.90/31,400.34 = 6,894.99/x
  3. Step 3: Cross multiply
    20,930.90x = 31,400.34 × 6,894.99
  4. Step 4: Simplify right side
    20,930.90x = 216,504,873.29
  5. Step 5: Solve for x
    x = 216,504,873.29/20,930.90
  6. Step 6: Final answer
    x = 10,343.79

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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.