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Finding the Fourth Proportional to 17,855.32, 26,772.94 and 7,322.44

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Solution

The fourth proportional to 17,855.32, 26,772.94 and 7,322.44 is: 10,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.32 : 26,772.94 = 7,322.44 : x
  2. Step 2: Convert to fraction form
    17,855.32/26,772.94 = 7,322.44/x
  3. Step 3: Cross multiply
    17,855.32x = 26,772.94 × 7,322.44
  4. Step 4: Simplify right side
    17,855.32x = 196,043,246.77
  5. Step 5: Solve for x
    x = 196,043,246.77/17,855.32
  6. Step 6: Final answer
    x = 10,979.54

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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.