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Finding the Fourth Proportional to 20,198.42, 30,303.81 and 10,344.68

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Solution

The fourth proportional to 20,198.42, 30,303.81 and 10,344.68 is: 15,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.42 : 30,303.81 = 10,344.68 : x
  2. Step 2: Convert to fraction form
    20,198.42/30,303.81 = 10,344.68/x
  3. Step 3: Cross multiply
    20,198.42x = 30,303.81 × 10,344.68
  4. Step 4: Simplify right side
    20,198.42x = 313,483,065.71
  5. Step 5: Solve for x
    x = 313,483,065.71/20,198.42
  6. Step 6: Final answer
    x = 15,520.18

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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.