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Finding the Fourth Proportional to 19,691.09, 29,525.71 and 7,843.94

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Solution

The fourth proportional to 19,691.09, 29,525.71 and 7,843.94 is: 11,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.09 : 29,525.71 = 7,843.94 : x
  2. Step 2: Convert to fraction form
    19,691.09/29,525.71 = 7,843.94/x
  3. Step 3: Cross multiply
    19,691.09x = 29,525.71 × 7,843.94
  4. Step 4: Simplify right side
    19,691.09x = 231,597,897.70
  5. Step 5: Solve for x
    x = 231,597,897.70/19,691.09
  6. Step 6: Final answer
    x = 11,761.56

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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.