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Finding the Fourth Proportional to 16,286.52, 22,475.36 and 8,834.52

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Solution

The fourth proportional to 16,286.52, 22,475.36 and 8,834.52 is: 12,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.52 : 22,475.36 = 8,834.52 : x
  2. Step 2: Convert to fraction form
    16,286.52/22,475.36 = 8,834.52/x
  3. Step 3: Cross multiply
    16,286.52x = 22,475.36 × 8,834.52
  4. Step 4: Simplify right side
    16,286.52x = 198,559,017.43
  5. Step 5: Solve for x
    x = 198,559,017.43/16,286.52
  6. Step 6: Final answer
    x = 12,191.62

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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.