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Finding the Fourth Proportional to 13,794.50, 20,704.70 and 7,225.40

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Solution

The fourth proportional to 13,794.50, 20,704.70 and 7,225.40 is: 10,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.50 : 20,704.70 = 7,225.40 : x
  2. Step 2: Convert to fraction form
    13,794.50/20,704.70 = 7,225.40/x
  3. Step 3: Cross multiply
    13,794.50x = 20,704.70 × 7,225.40
  4. Step 4: Simplify right side
    13,794.50x = 149,599,739.38
  5. Step 5: Solve for x
    x = 149,599,739.38/13,794.50
  6. Step 6: Final answer
    x = 10,844.88

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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.