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Finding the Fourth Proportional to 20,086.29, 30,136.73 and 6,939.99

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Solution

The fourth proportional to 20,086.29, 30,136.73 and 6,939.99 is: 10,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.29 : 30,136.73 = 6,939.99 : x
  2. Step 2: Convert to fraction form
    20,086.29/30,136.73 = 6,939.99/x
  3. Step 3: Cross multiply
    20,086.29x = 30,136.73 × 6,939.99
  4. Step 4: Simplify right side
    20,086.29x = 209,148,570.13
  5. Step 5: Solve for x
    x = 209,148,570.13/20,086.29
  6. Step 6: Final answer
    x = 10,412.50

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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.