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Finding the Fourth Proportional to 11,737.44, 17,564.22 and 10,195.60

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Solution

The fourth proportional to 11,737.44, 17,564.22 and 10,195.60 is: 15,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.44 : 17,564.22 = 10,195.60 : x
  2. Step 2: Convert to fraction form
    11,737.44/17,564.22 = 10,195.60/x
  3. Step 3: Cross multiply
    11,737.44x = 17,564.22 × 10,195.60
  4. Step 4: Simplify right side
    11,737.44x = 179,077,761.43
  5. Step 5: Solve for x
    x = 179,077,761.43/11,737.44
  6. Step 6: Final answer
    x = 15,256.97

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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.