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Finding the Fourth Proportional to 20,168.64, 30,235.20 and 7,848

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Solution

The fourth proportional to 20,168.64, 30,235.20 and 7,848 is: 11,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.64 : 30,235.20 = 7,848 : x
  2. Step 2: Convert to fraction form
    20,168.64/30,235.20 = 7,848/x
  3. Step 3: Cross multiply
    20,168.64x = 30,235.20 × 7,848
  4. Step 4: Simplify right side
    20,168.64x = 237,285,849.60
  5. Step 5: Solve for x
    x = 237,285,849.60/20,168.64
  6. Step 6: Final answer
    x = 11,765.09

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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.