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Finding the Fourth Proportional to 20,339.42, 30,510.22 and 6,309.14

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Solution

The fourth proportional to 20,339.42, 30,510.22 and 6,309.14 is: 9,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.42 : 30,510.22 = 6,309.14 : x
  2. Step 2: Convert to fraction form
    20,339.42/30,510.22 = 6,309.14/x
  3. Step 3: Cross multiply
    20,339.42x = 30,510.22 × 6,309.14
  4. Step 4: Simplify right side
    20,339.42x = 192,493,249.41
  5. Step 5: Solve for x
    x = 192,493,249.41/20,339.42
  6. Step 6: Final answer
    x = 9,464.05

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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.