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Finding the Fourth Proportional to 16,821.74, 23,213.78 and 9,267.92

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Solution

The fourth proportional to 16,821.74, 23,213.78 and 9,267.92 is: 12,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.74 : 23,213.78 = 9,267.92 : x
  2. Step 2: Convert to fraction form
    16,821.74/23,213.78 = 9,267.92/x
  3. Step 3: Cross multiply
    16,821.74x = 23,213.78 × 9,267.92
  4. Step 4: Simplify right side
    16,821.74x = 215,143,455.94
  5. Step 5: Solve for x
    x = 215,143,455.94/16,821.74
  6. Step 6: Final answer
    x = 12,789.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.