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Finding the Fourth Proportional to 20,197.84, 30,294.33 and 5,406.43

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Solution

The fourth proportional to 20,197.84, 30,294.33 and 5,406.43 is: 8,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.84 : 30,294.33 = 5,406.43 : x
  2. Step 2: Convert to fraction form
    20,197.84/30,294.33 = 5,406.43/x
  3. Step 3: Cross multiply
    20,197.84x = 30,294.33 × 5,406.43
  4. Step 4: Simplify right side
    20,197.84x = 163,784,174.54
  5. Step 5: Solve for x
    x = 163,784,174.54/20,197.84
  6. Step 6: Final answer
    x = 8,108.99

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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.