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Finding the Fourth Proportional to 23,837.40, 35,761.89 and 7,196.44

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Solution

The fourth proportional to 23,837.40, 35,761.89 and 7,196.44 is: 10,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.40 : 35,761.89 = 7,196.44 : x
  2. Step 2: Convert to fraction form
    23,837.40/35,761.89 = 7,196.44/x
  3. Step 3: Cross multiply
    23,837.40x = 35,761.89 × 7,196.44
  4. Step 4: Simplify right side
    23,837.40x = 257,358,259.69
  5. Step 5: Solve for x
    x = 257,358,259.69/23,837.40
  6. Step 6: Final answer
    x = 10,796.41

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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.