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Finding the Fourth Proportional to 16,412.20, 24,621.90 and 8,096.20

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Solution

The fourth proportional to 16,412.20, 24,621.90 and 8,096.20 is: 12,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.20 : 24,621.90 = 8,096.20 : x
  2. Step 2: Convert to fraction form
    16,412.20/24,621.90 = 8,096.20/x
  3. Step 3: Cross multiply
    16,412.20x = 24,621.90 × 8,096.20
  4. Step 4: Simplify right side
    16,412.20x = 199,343,826.78
  5. Step 5: Solve for x
    x = 199,343,826.78/16,412.20
  6. Step 6: Final answer
    x = 12,146.08

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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.