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Finding the Fourth Proportional to 20,679.84, 30,993.84 and 10,294.56

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Solution

The fourth proportional to 20,679.84, 30,993.84 and 10,294.56 is: 15,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.84 : 30,993.84 = 10,294.56 : x
  2. Step 2: Convert to fraction form
    20,679.84/30,993.84 = 10,294.56/x
  3. Step 3: Cross multiply
    20,679.84x = 30,993.84 × 10,294.56
  4. Step 4: Simplify right side
    20,679.84x = 319,067,945.51
  5. Step 5: Solve for x
    x = 319,067,945.51/20,679.84
  6. Step 6: Final answer
    x = 15,428.94

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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.