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Finding the Fourth Proportional to 20,916, 31,375.80 and 5,333.58

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Solution

The fourth proportional to 20,916, 31,375.80 and 5,333.58 is: 8,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 31,375.80 = 5,333.58 : x
  2. Step 2: Convert to fraction form
    20,916/31,375.80 = 5,333.58/x
  3. Step 3: Cross multiply
    20,916x = 31,375.80 × 5,333.58
  4. Step 4: Simplify right side
    20,916x = 167,345,339.36
  5. Step 5: Solve for x
    x = 167,345,339.36/20,916
  6. Step 6: Final answer
    x = 8,000.83

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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.