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Finding the Fourth Proportional to 20,994.68, 31,493.69 and 6,954.14

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Solution

The fourth proportional to 20,994.68, 31,493.69 and 6,954.14 is: 10,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.68 : 31,493.69 = 6,954.14 : x
  2. Step 2: Convert to fraction form
    20,994.68/31,493.69 = 6,954.14/x
  3. Step 3: Cross multiply
    20,994.68x = 31,493.69 × 6,954.14
  4. Step 4: Simplify right side
    20,994.68x = 219,011,529.38
  5. Step 5: Solve for x
    x = 219,011,529.38/20,994.68
  6. Step 6: Final answer
    x = 10,431.76

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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.