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Finding the Fourth Proportional to 19,843.69, 29,763.71 and 6,696.17

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Solution

The fourth proportional to 19,843.69, 29,763.71 and 6,696.17 is: 10,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.69 : 29,763.71 = 6,696.17 : x
  2. Step 2: Convert to fraction form
    19,843.69/29,763.71 = 6,696.17/x
  3. Step 3: Cross multiply
    19,843.69x = 29,763.71 × 6,696.17
  4. Step 4: Simplify right side
    19,843.69x = 199,302,861.99
  5. Step 5: Solve for x
    x = 199,302,861.99/19,843.69
  6. Step 6: Final answer
    x = 10,043.64

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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.