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Finding the Fourth Proportional to 23,791.17, 32,832.09 and 13,180.98

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Solution

The fourth proportional to 23,791.17, 32,832.09 and 13,180.98 is: 18,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.17 : 32,832.09 = 13,180.98 : x
  2. Step 2: Convert to fraction form
    23,791.17/32,832.09 = 13,180.98/x
  3. Step 3: Cross multiply
    23,791.17x = 32,832.09 × 13,180.98
  4. Step 4: Simplify right side
    23,791.17x = 432,759,121.65
  5. Step 5: Solve for x
    x = 432,759,121.65/23,791.17
  6. Step 6: Final answer
    x = 18,189.90

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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.