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Finding the Fourth Proportional to 20,009.74, 30,019.17 and 6,861.32

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Solution

The fourth proportional to 20,009.74, 30,019.17 and 6,861.32 is: 10,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.74 : 30,019.17 = 6,861.32 : x
  2. Step 2: Convert to fraction form
    20,009.74/30,019.17 = 6,861.32/x
  3. Step 3: Cross multiply
    20,009.74x = 30,019.17 × 6,861.32
  4. Step 4: Simplify right side
    20,009.74x = 205,971,131.50
  5. Step 5: Solve for x
    x = 205,971,131.50/20,009.74
  6. Step 6: Final answer
    x = 10,293.54

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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.