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Finding the Fourth Proportional to 16,147.44, 24,234.12 and 8,358.48

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Solution

The fourth proportional to 16,147.44, 24,234.12 and 8,358.48 is: 12,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.44 : 24,234.12 = 8,358.48 : x
  2. Step 2: Convert to fraction form
    16,147.44/24,234.12 = 8,358.48/x
  3. Step 3: Cross multiply
    16,147.44x = 24,234.12 × 8,358.48
  4. Step 4: Simplify right side
    16,147.44x = 202,560,407.34
  5. Step 5: Solve for x
    x = 202,560,407.34/16,147.44
  6. Step 6: Final answer
    x = 12,544.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.