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Finding the Fourth Proportional to 16,198.10, 24,297.14 and 12,505.72

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Solution

The fourth proportional to 16,198.10, 24,297.14 and 12,505.72 is: 18,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.10 : 24,297.14 = 12,505.72 : x
  2. Step 2: Convert to fraction form
    16,198.10/24,297.14 = 12,505.72/x
  3. Step 3: Cross multiply
    16,198.10x = 24,297.14 × 12,505.72
  4. Step 4: Simplify right side
    16,198.10x = 303,853,229.64
  5. Step 5: Solve for x
    x = 303,853,229.64/16,198.10
  6. Step 6: Final answer
    x = 18,758.57

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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.