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Finding the Fourth Proportional to 20,494.64, 30,738.60 and 7,344.56

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Solution

The fourth proportional to 20,494.64, 30,738.60 and 7,344.56 is: 11,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.64 : 30,738.60 = 7,344.56 : x
  2. Step 2: Convert to fraction form
    20,494.64/30,738.60 = 7,344.56/x
  3. Step 3: Cross multiply
    20,494.64x = 30,738.60 × 7,344.56
  4. Step 4: Simplify right side
    20,494.64x = 225,761,492.02
  5. Step 5: Solve for x
    x = 225,761,492.02/20,494.64
  6. Step 6: Final answer
    x = 11,015.64

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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.