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Finding the Fourth Proportional to 16,267.20, 22,448.73 and 8,815.20

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Solution

The fourth proportional to 16,267.20, 22,448.73 and 8,815.20 is: 12,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.20 : 22,448.73 = 8,815.20 : x
  2. Step 2: Convert to fraction form
    16,267.20/22,448.73 = 8,815.20/x
  3. Step 3: Cross multiply
    16,267.20x = 22,448.73 × 8,815.20
  4. Step 4: Simplify right side
    16,267.20x = 197,889,932.45
  5. Step 5: Solve for x
    x = 197,889,932.45/16,267.20
  6. Step 6: Final answer
    x = 12,164.97

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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.