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Finding the Fourth Proportional to 20,794.14, 31,172.56 and 7,637.31

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Solution

The fourth proportional to 20,794.14, 31,172.56 and 7,637.31 is: 11,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.14 : 31,172.56 = 7,637.31 : x
  2. Step 2: Convert to fraction form
    20,794.14/31,172.56 = 7,637.31/x
  3. Step 3: Cross multiply
    20,794.14x = 31,172.56 × 7,637.31
  4. Step 4: Simplify right side
    20,794.14x = 238,074,504.21
  5. Step 5: Solve for x
    x = 238,074,504.21/20,794.14
  6. Step 6: Final answer
    x = 11,449.12

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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.