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Finding the Fourth Proportional to 20,414.97, 30,626.03 and 9,322.77

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Solution

The fourth proportional to 20,414.97, 30,626.03 and 9,322.77 is: 13,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.97 : 30,626.03 = 9,322.77 : x
  2. Step 2: Convert to fraction form
    20,414.97/30,626.03 = 9,322.77/x
  3. Step 3: Cross multiply
    20,414.97x = 30,626.03 × 9,322.77
  4. Step 4: Simplify right side
    20,414.97x = 285,519,433.70
  5. Step 5: Solve for x
    x = 285,519,433.70/20,414.97
  6. Step 6: Final answer
    x = 13,985.79

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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.