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Finding the Fourth Proportional to 20,781.87, 31,172.81 and 9,696.33

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Solution

The fourth proportional to 20,781.87, 31,172.81 and 9,696.33 is: 14,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.87 : 31,172.81 = 9,696.33 : x
  2. Step 2: Convert to fraction form
    20,781.87/31,172.81 = 9,696.33/x
  3. Step 3: Cross multiply
    20,781.87x = 31,172.81 × 9,696.33
  4. Step 4: Simplify right side
    20,781.87x = 302,261,804.31
  5. Step 5: Solve for x
    x = 302,261,804.31/20,781.87
  6. Step 6: Final answer
    x = 14,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.