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Finding the Fourth Proportional to 20,696, 31,046.92 and 6,651.32

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Solution

The fourth proportional to 20,696, 31,046.92 and 6,651.32 is: 9,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696 : 31,046.92 = 6,651.32 : x
  2. Step 2: Convert to fraction form
    20,696/31,046.92 = 6,651.32/x
  3. Step 3: Cross multiply
    20,696x = 31,046.92 × 6,651.32
  4. Step 4: Simplify right side
    20,696x = 206,502,999.93
  5. Step 5: Solve for x
    x = 206,502,999.93/20,696
  6. Step 6: Final answer
    x = 9,977.92

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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.