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Finding the Fourth Proportional to 20,493.41, 30,740.13 and 5,702.33

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Solution

The fourth proportional to 20,493.41, 30,740.13 and 5,702.33 is: 8,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.41 : 30,740.13 = 5,702.33 : x
  2. Step 2: Convert to fraction form
    20,493.41/30,740.13 = 5,702.33/x
  3. Step 3: Cross multiply
    20,493.41x = 30,740.13 × 5,702.33
  4. Step 4: Simplify right side
    20,493.41x = 175,290,211.80
  5. Step 5: Solve for x
    x = 175,290,211.80/20,493.41
  6. Step 6: Final answer
    x = 8,553.49

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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.