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Finding the Fourth Proportional to 16,540.54, 24,814.86 and 8,224.46

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Solution

The fourth proportional to 16,540.54, 24,814.86 and 8,224.46 is: 12,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.54 : 24,814.86 = 8,224.46 : x
  2. Step 2: Convert to fraction form
    16,540.54/24,814.86 = 8,224.46/x
  3. Step 3: Cross multiply
    16,540.54x = 24,814.86 × 8,224.46
  4. Step 4: Simplify right side
    16,540.54x = 204,088,823.48
  5. Step 5: Solve for x
    x = 204,088,823.48/16,540.54
  6. Step 6: Final answer
    x = 12,338.70

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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.