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Finding the Fourth Proportional to 20,134.70, 30,201.90 and 6,094.70

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Solution

The fourth proportional to 20,134.70, 30,201.90 and 6,094.70 is: 9,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.70 : 30,201.90 = 6,094.70 : x
  2. Step 2: Convert to fraction form
    20,134.70/30,201.90 = 6,094.70/x
  3. Step 3: Cross multiply
    20,134.70x = 30,201.90 × 6,094.70
  4. Step 4: Simplify right side
    20,134.70x = 184,071,519.93
  5. Step 5: Solve for x
    x = 184,071,519.93/20,134.70
  6. Step 6: Final answer
    x = 9,142.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.