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Finding the Fourth Proportional to 20,932.66, 31,411.23 and 7,794.34

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Solution

The fourth proportional to 20,932.66, 31,411.23 and 7,794.34 is: 11,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.66 : 31,411.23 = 7,794.34 : x
  2. Step 2: Convert to fraction form
    20,932.66/31,411.23 = 7,794.34/x
  3. Step 3: Cross multiply
    20,932.66x = 31,411.23 × 7,794.34
  4. Step 4: Simplify right side
    20,932.66x = 244,829,806.44
  5. Step 5: Solve for x
    x = 244,829,806.44/20,932.66
  6. Step 6: Final answer
    x = 11,696.07

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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.