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Finding the Fourth Proportional to 20,192.80, 30,272.64 and 9,096.16

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Solution

The fourth proportional to 20,192.80, 30,272.64 and 9,096.16 is: 13,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.80 : 30,272.64 = 9,096.16 : x
  2. Step 2: Convert to fraction form
    20,192.80/30,272.64 = 9,096.16/x
  3. Step 3: Cross multiply
    20,192.80x = 30,272.64 × 9,096.16
  4. Step 4: Simplify right side
    20,192.80x = 275,364,777.06
  5. Step 5: Solve for x
    x = 275,364,777.06/20,192.80
  6. Step 6: Final answer
    x = 13,636.78

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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.