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Finding the Fourth Proportional to 19,684.41, 29,552.39 and 11,693.82

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Solution

The fourth proportional to 19,684.41, 29,552.39 and 11,693.82 is: 17,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.41 : 29,552.39 = 11,693.82 : x
  2. Step 2: Convert to fraction form
    19,684.41/29,552.39 = 11,693.82/x
  3. Step 3: Cross multiply
    19,684.41x = 29,552.39 × 11,693.82
  4. Step 4: Simplify right side
    19,684.41x = 345,580,329.23
  5. Step 5: Solve for x
    x = 345,580,329.23/19,684.41
  6. Step 6: Final answer
    x = 17,556.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.