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Finding the Fourth Proportional to 20,458.98, 30,680.91 and 16,084.98

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Solution

The fourth proportional to 20,458.98, 30,680.91 and 16,084.98 is: 24,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.98 : 30,680.91 = 16,084.98 : x
  2. Step 2: Convert to fraction form
    20,458.98/30,680.91 = 16,084.98/x
  3. Step 3: Cross multiply
    20,458.98x = 30,680.91 × 16,084.98
  4. Step 4: Simplify right side
    20,458.98x = 493,501,823.73
  5. Step 5: Solve for x
    x = 493,501,823.73/20,458.98
  6. Step 6: Final answer
    x = 24,121.53

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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.