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Finding the Fourth Proportional to 13,704.06, 20,522.97 and 7,842.90

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Solution

The fourth proportional to 13,704.06, 20,522.97 and 7,842.90 is: 11,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.06 : 20,522.97 = 7,842.90 : x
  2. Step 2: Convert to fraction form
    13,704.06/20,522.97 = 7,842.90/x
  3. Step 3: Cross multiply
    13,704.06x = 20,522.97 × 7,842.90
  4. Step 4: Simplify right side
    13,704.06x = 160,959,601.41
  5. Step 5: Solve for x
    x = 160,959,601.41/13,704.06
  6. Step 6: Final answer
    x = 11,745.40

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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.