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Finding the Fourth Proportional to 16,234.70, 24,340.05 and 8,449.10

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Solution

The fourth proportional to 16,234.70, 24,340.05 and 8,449.10 is: 12,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.70 : 24,340.05 = 8,449.10 : x
  2. Step 2: Convert to fraction form
    16,234.70/24,340.05 = 8,449.10/x
  3. Step 3: Cross multiply
    16,234.70x = 24,340.05 × 8,449.10
  4. Step 4: Simplify right side
    16,234.70x = 205,651,516.46
  5. Step 5: Solve for x
    x = 205,651,516.46/16,234.70
  6. Step 6: Final answer
    x = 12,667.40

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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.