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Finding the Fourth Proportional to 20,134.54, 30,202.13 and 6,094.72

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Solution

The fourth proportional to 20,134.54, 30,202.13 and 6,094.72 is: 9,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.54 : 30,202.13 = 6,094.72 : x
  2. Step 2: Convert to fraction form
    20,134.54/30,202.13 = 6,094.72/x
  3. Step 3: Cross multiply
    20,134.54x = 30,202.13 × 6,094.72
  4. Step 4: Simplify right side
    20,134.54x = 184,073,525.75
  5. Step 5: Solve for x
    x = 184,073,525.75/20,134.54
  6. Step 6: Final answer
    x = 9,142.18

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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.