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Finding the Fourth Proportional to 16,394.56, 22,624.44 and 8,942.56

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Solution

The fourth proportional to 16,394.56, 22,624.44 and 8,942.56 is: 12,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.56 : 22,624.44 = 8,942.56 : x
  2. Step 2: Convert to fraction form
    16,394.56/22,624.44 = 8,942.56/x
  3. Step 3: Cross multiply
    16,394.56x = 22,624.44 × 8,942.56
  4. Step 4: Simplify right side
    16,394.56x = 202,320,412.17
  5. Step 5: Solve for x
    x = 202,320,412.17/16,394.56
  6. Step 6: Final answer
    x = 12,340.70

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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.