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Finding the Fourth Proportional to 20,525.36, 30,777 and 10,640.12

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Solution

The fourth proportional to 20,525.36, 30,777 and 10,640.12 is: 15,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.36 : 30,777 = 10,640.12 : x
  2. Step 2: Convert to fraction form
    20,525.36/30,777 = 10,640.12/x
  3. Step 3: Cross multiply
    20,525.36x = 30,777 × 10,640.12
  4. Step 4: Simplify right side
    20,525.36x = 327,470,973.24
  5. Step 5: Solve for x
    x = 327,470,973.24/20,525.36
  6. Step 6: Final answer
    x = 15,954.46

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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.