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Finding the Fourth Proportional to 20,472.87, 30,714.38 and 16,271.96

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Solution

The fourth proportional to 20,472.87, 30,714.38 and 16,271.96 is: 24,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.87 : 30,714.38 = 16,271.96 : x
  2. Step 2: Convert to fraction form
    20,472.87/30,714.38 = 16,271.96/x
  3. Step 3: Cross multiply
    20,472.87x = 30,714.38 × 16,271.96
  4. Step 4: Simplify right side
    20,472.87x = 499,783,081.43
  5. Step 5: Solve for x
    x = 499,783,081.43/20,472.87
  6. Step 6: Final answer
    x = 24,411.97

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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.