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Finding the Fourth Proportional to 21,694.90, 32,505.20 and 11,841.09

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Solution

The fourth proportional to 21,694.90, 32,505.20 and 11,841.09 is: 17,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.90 : 32,505.20 = 11,841.09 : x
  2. Step 2: Convert to fraction form
    21,694.90/32,505.20 = 11,841.09/x
  3. Step 3: Cross multiply
    21,694.90x = 32,505.20 × 11,841.09
  4. Step 4: Simplify right side
    21,694.90x = 384,897,079.93
  5. Step 5: Solve for x
    x = 384,897,079.93/21,694.90
  6. Step 6: Final answer
    x = 17,741.36

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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.