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Finding the Fourth Proportional to 20,153.44, 30,234.56 and 8,460

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Solution

The fourth proportional to 20,153.44, 30,234.56 and 8,460 is: 12,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.44 : 30,234.56 = 8,460 : x
  2. Step 2: Convert to fraction form
    20,153.44/30,234.56 = 8,460/x
  3. Step 3: Cross multiply
    20,153.44x = 30,234.56 × 8,460
  4. Step 4: Simplify right side
    20,153.44x = 255,784,377.60
  5. Step 5: Solve for x
    x = 255,784,377.60/20,153.44
  6. Step 6: Final answer
    x = 12,691.85

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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.