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Finding the Fourth Proportional to 16,394.28, 22,624.08 and 8,942.28

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Solution

The fourth proportional to 16,394.28, 22,624.08 and 8,942.28 is: 12,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.28 : 22,624.08 = 8,942.28 : x
  2. Step 2: Convert to fraction form
    16,394.28/22,624.08 = 8,942.28/x
  3. Step 3: Cross multiply
    16,394.28x = 22,624.08 × 8,942.28
  4. Step 4: Simplify right side
    16,394.28x = 202,310,858.10
  5. Step 5: Solve for x
    x = 202,310,858.10/16,394.28
  6. Step 6: Final answer
    x = 12,340.33

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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.