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Finding the Fourth Proportional to 21,794.50, 32,696.61 and 7,943.50

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Solution

The fourth proportional to 21,794.50, 32,696.61 and 7,943.50 is: 11,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.50 : 32,696.61 = 7,943.50 : x
  2. Step 2: Convert to fraction form
    21,794.50/32,696.61 = 7,943.50/x
  3. Step 3: Cross multiply
    21,794.50x = 32,696.61 × 7,943.50
  4. Step 4: Simplify right side
    21,794.50x = 259,725,521.54
  5. Step 5: Solve for x
    x = 259,725,521.54/21,794.50
  6. Step 6: Final answer
    x = 11,917.02

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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.