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Finding the Fourth Proportional to 13,927.98, 20,881.57 and 8,380.02

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Solution

The fourth proportional to 13,927.98, 20,881.57 and 8,380.02 is: 12,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.98 : 20,881.57 = 8,380.02 : x
  2. Step 2: Convert to fraction form
    13,927.98/20,881.57 = 8,380.02/x
  3. Step 3: Cross multiply
    13,927.98x = 20,881.57 × 8,380.02
  4. Step 4: Simplify right side
    13,927.98x = 174,987,982.77
  5. Step 5: Solve for x
    x = 174,987,982.77/13,927.98
  6. Step 6: Final answer
    x = 12,563.78

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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.