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Finding the Fourth Proportional to 20,470.97, 30,706.46 and 5,679.97

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Solution

The fourth proportional to 20,470.97, 30,706.46 and 5,679.97 is: 8,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.97 : 30,706.46 = 5,679.97 : x
  2. Step 2: Convert to fraction form
    20,470.97/30,706.46 = 5,679.97/x
  3. Step 3: Cross multiply
    20,470.97x = 30,706.46 × 5,679.97
  4. Step 4: Simplify right side
    20,470.97x = 174,411,771.61
  5. Step 5: Solve for x
    x = 174,411,771.61/20,470.97
  6. Step 6: Final answer
    x = 8,519.96

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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.