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Finding the Fourth Proportional to 20,234.70, 30,335.85 and 8,538.30

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Solution

The fourth proportional to 20,234.70, 30,335.85 and 8,538.30 is: 12,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.70 : 30,335.85 = 8,538.30 : x
  2. Step 2: Convert to fraction form
    20,234.70/30,335.85 = 8,538.30/x
  3. Step 3: Cross multiply
    20,234.70x = 30,335.85 × 8,538.30
  4. Step 4: Simplify right side
    20,234.70x = 259,016,588.06
  5. Step 5: Solve for x
    x = 259,016,588.06/20,234.70
  6. Step 6: Final answer
    x = 12,800.61

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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.