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Finding the Fourth Proportional to 20,178.45, 30,270.92 and 7,697.97

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Solution

The fourth proportional to 20,178.45, 30,270.92 and 7,697.97 is: 11,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.45 : 30,270.92 = 7,697.97 : x
  2. Step 2: Convert to fraction form
    20,178.45/30,270.92 = 7,697.97/x
  3. Step 3: Cross multiply
    20,178.45x = 30,270.92 × 7,697.97
  4. Step 4: Simplify right side
    20,178.45x = 233,024,595.54
  5. Step 5: Solve for x
    x = 233,024,595.54/20,178.45
  6. Step 6: Final answer
    x = 11,548.19

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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.