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Finding the Fourth Proportional to 20,048.70, 30,057.03 and 9,513.42

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Solution

The fourth proportional to 20,048.70, 30,057.03 and 9,513.42 is: 14,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.70 : 30,057.03 = 9,513.42 : x
  2. Step 2: Convert to fraction form
    20,048.70/30,057.03 = 9,513.42/x
  3. Step 3: Cross multiply
    20,048.70x = 30,057.03 × 9,513.42
  4. Step 4: Simplify right side
    20,048.70x = 285,945,150.34
  5. Step 5: Solve for x
    x = 285,945,150.34/20,048.70
  6. Step 6: Final answer
    x = 14,262.53

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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.