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Finding the Fourth Proportional to 20,212.56, 30,299.40 and 10,356.48

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Solution

The fourth proportional to 20,212.56, 30,299.40 and 10,356.48 is: 15,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.56 : 30,299.40 = 10,356.48 : x
  2. Step 2: Convert to fraction form
    20,212.56/30,299.40 = 10,356.48/x
  3. Step 3: Cross multiply
    20,212.56x = 30,299.40 × 10,356.48
  4. Step 4: Simplify right side
    20,212.56x = 313,795,130.11
  5. Step 5: Solve for x
    x = 313,795,130.11/20,212.56
  6. Step 6: Final answer
    x = 15,524.76

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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.