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Finding the Fourth Proportional to 23,796.59, 32,839.29 and 13,186.13

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Solution

The fourth proportional to 23,796.59, 32,839.29 and 13,186.13 is: 18,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.59 : 32,839.29 = 13,186.13 : x
  2. Step 2: Convert to fraction form
    23,796.59/32,839.29 = 13,186.13/x
  3. Step 3: Cross multiply
    23,796.59x = 32,839.29 × 13,186.13
  4. Step 4: Simplify right side
    23,796.59x = 433,022,982.85
  5. Step 5: Solve for x
    x = 433,022,982.85/23,796.59
  6. Step 6: Final answer
    x = 18,196.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.