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Finding the Fourth Proportional to 23,837.45, 35,761.96 and 7,196.49

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Solution

The fourth proportional to 23,837.45, 35,761.96 and 7,196.49 is: 10,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.45 : 35,761.96 = 7,196.49 : x
  2. Step 2: Convert to fraction form
    23,837.45/35,761.96 = 7,196.49/x
  3. Step 3: Cross multiply
    23,837.45x = 35,761.96 × 7,196.49
  4. Step 4: Simplify right side
    23,837.45x = 257,360,569.53
  5. Step 5: Solve for x
    x = 257,360,569.53/23,837.45
  6. Step 6: Final answer
    x = 10,796.48

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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.