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Finding the Fourth Proportional to 16,238.16, 22,408.44 and 8,786.16

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Solution

The fourth proportional to 16,238.16, 22,408.44 and 8,786.16 is: 12,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.16 : 22,408.44 = 8,786.16 : x
  2. Step 2: Convert to fraction form
    16,238.16/22,408.44 = 8,786.16/x
  3. Step 3: Cross multiply
    16,238.16x = 22,408.44 × 8,786.16
  4. Step 4: Simplify right side
    16,238.16x = 196,884,139.19
  5. Step 5: Solve for x
    x = 196,884,139.19/16,238.16
  6. Step 6: Final answer
    x = 12,124.78

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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.