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Finding the Fourth Proportional to 23,705.44, 35,546.56 and 13,847.20

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Solution

The fourth proportional to 23,705.44, 35,546.56 and 13,847.20 is: 20,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.44 : 35,546.56 = 13,847.20 : x
  2. Step 2: Convert to fraction form
    23,705.44/35,546.56 = 13,847.20/x
  3. Step 3: Cross multiply
    23,705.44x = 35,546.56 × 13,847.20
  4. Step 4: Simplify right side
    23,705.44x = 492,220,325.63
  5. Step 5: Solve for x
    x = 492,220,325.63/23,705.44
  6. Step 6: Final answer
    x = 20,764.02

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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.