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Finding the Fourth Proportional to 13,342.56, 20,014.88 and 7,796.48

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Solution

The fourth proportional to 13,342.56, 20,014.88 and 7,796.48 is: 11,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.56 : 20,014.88 = 7,796.48 : x
  2. Step 2: Convert to fraction form
    13,342.56/20,014.88 = 7,796.48/x
  3. Step 3: Cross multiply
    13,342.56x = 20,014.88 × 7,796.48
  4. Step 4: Simplify right side
    13,342.56x = 156,045,611.62
  5. Step 5: Solve for x
    x = 156,045,611.62/13,342.56
  6. Step 6: Final answer
    x = 11,695.33

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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.