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Finding the Fourth Proportional to 20,485.17, 30,735.15 and 7,160.14

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Solution

The fourth proportional to 20,485.17, 30,735.15 and 7,160.14 is: 10,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.17 : 30,735.15 = 7,160.14 : x
  2. Step 2: Convert to fraction form
    20,485.17/30,735.15 = 7,160.14/x
  3. Step 3: Cross multiply
    20,485.17x = 30,735.15 × 7,160.14
  4. Step 4: Simplify right side
    20,485.17x = 220,067,902.05
  5. Step 5: Solve for x
    x = 220,067,902.05/20,485.17
  6. Step 6: Final answer
    x = 10,742.79

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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.