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Finding the Fourth Proportional to 12,562.25, 18,846.68 and 3,797.42

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Solution

The fourth proportional to 12,562.25, 18,846.68 and 3,797.42 is: 5,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.25 : 18,846.68 = 3,797.42 : x
  2. Step 2: Convert to fraction form
    12,562.25/18,846.68 = 3,797.42/x
  3. Step 3: Cross multiply
    12,562.25x = 18,846.68 × 3,797.42
  4. Step 4: Simplify right side
    12,562.25x = 71,568,646.35
  5. Step 5: Solve for x
    x = 71,568,646.35/12,562.25
  6. Step 6: Final answer
    x = 5,697.12

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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.