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Finding the Fourth Proportional to 20,735.42, 31,107.53 and 6,696.25

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Solution

The fourth proportional to 20,735.42, 31,107.53 and 6,696.25 is: 10,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.42 : 31,107.53 = 6,696.25 : x
  2. Step 2: Convert to fraction form
    20,735.42/31,107.53 = 6,696.25/x
  3. Step 3: Cross multiply
    20,735.42x = 31,107.53 × 6,696.25
  4. Step 4: Simplify right side
    20,735.42x = 208,303,736.73
  5. Step 5: Solve for x
    x = 208,303,736.73/20,735.42
  6. Step 6: Final answer
    x = 10,045.80

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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.