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Finding the Fourth Proportional to 20,818.41, 31,239.91 and 7,680

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Solution

The fourth proportional to 20,818.41, 31,239.91 and 7,680 is: 11,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.41 : 31,239.91 = 7,680 : x
  2. Step 2: Convert to fraction form
    20,818.41/31,239.91 = 7,680/x
  3. Step 3: Cross multiply
    20,818.41x = 31,239.91 × 7,680
  4. Step 4: Simplify right side
    20,818.41x = 239,922,508.80
  5. Step 5: Solve for x
    x = 239,922,508.80/20,818.41
  6. Step 6: Final answer
    x = 11,524.54

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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.