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Finding the Fourth Proportional to 16,447.27, 24,652.41 and 8,109.64

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Solution

The fourth proportional to 16,447.27, 24,652.41 and 8,109.64 is: 12,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.27 : 24,652.41 = 8,109.64 : x
  2. Step 2: Convert to fraction form
    16,447.27/24,652.41 = 8,109.64/x
  3. Step 3: Cross multiply
    16,447.27x = 24,652.41 × 8,109.64
  4. Step 4: Simplify right side
    16,447.27x = 199,922,170.23
  5. Step 5: Solve for x
    x = 199,922,170.23/16,447.27
  6. Step 6: Final answer
    x = 12,155.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.