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Finding the Fourth Proportional to 16,504.50, 22,786.50 and 11,467.02

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Solution

The fourth proportional to 16,504.50, 22,786.50 and 11,467.02 is: 15,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.50 : 22,786.50 = 11,467.02 : x
  2. Step 2: Convert to fraction form
    16,504.50/22,786.50 = 11,467.02/x
  3. Step 3: Cross multiply
    16,504.50x = 22,786.50 × 11,467.02
  4. Step 4: Simplify right side
    16,504.50x = 261,293,251.23
  5. Step 5: Solve for x
    x = 261,293,251.23/16,504.50
  6. Step 6: Final answer
    x = 15,831.64

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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.