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Finding the Fourth Proportional to 12,894.49, 17,794.05 and 7,229.47

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Solution

The fourth proportional to 12,894.49, 17,794.05 and 7,229.47 is: 9,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.49 : 17,794.05 = 7,229.47 : x
  2. Step 2: Convert to fraction form
    12,894.49/17,794.05 = 7,229.47/x
  3. Step 3: Cross multiply
    12,894.49x = 17,794.05 × 7,229.47
  4. Step 4: Simplify right side
    12,894.49x = 128,641,550.65
  5. Step 5: Solve for x
    x = 128,641,550.65/12,894.49
  6. Step 6: Final answer
    x = 9,976.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.