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Finding the Fourth Proportional to 20,832.54, 31,252.77 and 7,685.94

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Solution

The fourth proportional to 20,832.54, 31,252.77 and 7,685.94 is: 11,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.54 : 31,252.77 = 7,685.94 : x
  2. Step 2: Convert to fraction form
    20,832.54/31,252.77 = 7,685.94/x
  3. Step 3: Cross multiply
    20,832.54x = 31,252.77 × 7,685.94
  4. Step 4: Simplify right side
    20,832.54x = 240,206,915.05
  5. Step 5: Solve for x
    x = 240,206,915.05/20,832.54
  6. Step 6: Final answer
    x = 11,530.37

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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.