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Finding the Fourth Proportional to 16,208, 22,367.16 and 9,924.56

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Solution

The fourth proportional to 16,208, 22,367.16 and 9,924.56 is: 13,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208 : 22,367.16 = 9,924.56 : x
  2. Step 2: Convert to fraction form
    16,208/22,367.16 = 9,924.56/x
  3. Step 3: Cross multiply
    16,208x = 22,367.16 × 9,924.56
  4. Step 4: Simplify right side
    16,208x = 221,984,221.45
  5. Step 5: Solve for x
    x = 221,984,221.45/16,208
  6. Step 6: Final answer
    x = 13,695.97

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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.