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Finding the Fourth Proportional to 20,145.70, 30,218.40 and 6,105.70

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Solution

The fourth proportional to 20,145.70, 30,218.40 and 6,105.70 is: 9,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.70 : 30,218.40 = 6,105.70 : x
  2. Step 2: Convert to fraction form
    20,145.70/30,218.40 = 6,105.70/x
  3. Step 3: Cross multiply
    20,145.70x = 30,218.40 × 6,105.70
  4. Step 4: Simplify right side
    20,145.70x = 184,504,484.88
  5. Step 5: Solve for x
    x = 184,504,484.88/20,145.70
  6. Step 6: Final answer
    x = 9,158.50

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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.