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Finding the Fourth Proportional to 20,196.43, 30,299 and 6,156.09

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Solution

The fourth proportional to 20,196.43, 30,299 and 6,156.09 is: 9,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.43 : 30,299 = 6,156.09 : x
  2. Step 2: Convert to fraction form
    20,196.43/30,299 = 6,156.09/x
  3. Step 3: Cross multiply
    20,196.43x = 30,299 × 6,156.09
  4. Step 4: Simplify right side
    20,196.43x = 186,523,370.91
  5. Step 5: Solve for x
    x = 186,523,370.91/20,196.43
  6. Step 6: Final answer
    x = 9,235.46

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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.