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Finding the Fourth Proportional to 20,525.84, 30,798.32 and 20,194.14

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Solution

The fourth proportional to 20,525.84, 30,798.32 and 20,194.14 is: 30,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.84 : 30,798.32 = 20,194.14 : x
  2. Step 2: Convert to fraction form
    20,525.84/30,798.32 = 20,194.14/x
  3. Step 3: Cross multiply
    20,525.84x = 30,798.32 × 20,194.14
  4. Step 4: Simplify right side
    20,525.84x = 621,945,636.33
  5. Step 5: Solve for x
    x = 621,945,636.33/20,525.84
  6. Step 6: Final answer
    x = 30,300.63

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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.