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Finding the Fourth Proportional to 20,286.45, 30,409.02 and 13,713.30

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Solution

The fourth proportional to 20,286.45, 30,409.02 and 13,713.30 is: 20,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.45 : 30,409.02 = 13,713.30 : x
  2. Step 2: Convert to fraction form
    20,286.45/30,409.02 = 13,713.30/x
  3. Step 3: Cross multiply
    20,286.45x = 30,409.02 × 13,713.30
  4. Step 4: Simplify right side
    20,286.45x = 417,008,013.97
  5. Step 5: Solve for x
    x = 417,008,013.97/20,286.45
  6. Step 6: Final answer
    x = 20,555.99

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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.