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Finding the Fourth Proportional to 19,226, 28,843.66 and 9,363.04

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Solution

The fourth proportional to 19,226, 28,843.66 and 9,363.04 is: 14,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 28,843.66 = 9,363.04 : x
  2. Step 2: Convert to fraction form
    19,226/28,843.66 = 9,363.04/x
  3. Step 3: Cross multiply
    19,226x = 28,843.66 × 9,363.04
  4. Step 4: Simplify right side
    19,226x = 270,064,342.33
  5. Step 5: Solve for x
    x = 270,064,342.33/19,226
  6. Step 6: Final answer
    x = 14,046.83

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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.