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Finding the Fourth Proportional to 19,192, 28,789.65 and 5,341

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Solution

The fourth proportional to 19,192, 28,789.65 and 5,341 is: 8,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,192 : 28,789.65 = 5,341 : x
  2. Step 2: Convert to fraction form
    19,192/28,789.65 = 5,341/x
  3. Step 3: Cross multiply
    19,192x = 28,789.65 × 5,341
  4. Step 4: Simplify right side
    19,192x = 153,765,520.65
  5. Step 5: Solve for x
    x = 153,765,520.65/19,192
  6. Step 6: Final answer
    x = 8,011.96

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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.