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Finding the Fourth Proportional to 20,406.96, 30,604.26 and 7,258.64

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Solution

The fourth proportional to 20,406.96, 30,604.26 and 7,258.64 is: 10,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.96 : 30,604.26 = 7,258.64 : x
  2. Step 2: Convert to fraction form
    20,406.96/30,604.26 = 7,258.64/x
  3. Step 3: Cross multiply
    20,406.96x = 30,604.26 × 7,258.64
  4. Step 4: Simplify right side
    20,406.96x = 222,145,305.81
  5. Step 5: Solve for x
    x = 222,145,305.81/20,406.96
  6. Step 6: Final answer
    x = 10,885.76

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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.