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Finding the Fourth Proportional to 19,794, 29,703.96 and 7,482

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Solution

The fourth proportional to 19,794, 29,703.96 and 7,482 is: 11,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 29,703.96 = 7,482 : x
  2. Step 2: Convert to fraction form
    19,794/29,703.96 = 7,482/x
  3. Step 3: Cross multiply
    19,794x = 29,703.96 × 7,482
  4. Step 4: Simplify right side
    19,794x = 222,245,028.72
  5. Step 5: Solve for x
    x = 222,245,028.72/19,794
  6. Step 6: Final answer
    x = 11,227.90

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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.