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Finding the Fourth Proportional to 16,286.68, 22,475.61 and 8,834.68

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Solution

The fourth proportional to 16,286.68, 22,475.61 and 8,834.68 is: 12,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.68 : 22,475.61 = 8,834.68 : x
  2. Step 2: Convert to fraction form
    16,286.68/22,475.61 = 8,834.68/x
  3. Step 3: Cross multiply
    16,286.68x = 22,475.61 × 8,834.68
  4. Step 4: Simplify right side
    16,286.68x = 198,564,765.97
  5. Step 5: Solve for x
    x = 198,564,765.97/16,286.68
  6. Step 6: Final answer
    x = 12,191.85

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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.