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Finding the Fourth Proportional to 23,755.90, 32,786.60 and 13,682.38

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Solution

The fourth proportional to 23,755.90, 32,786.60 and 13,682.38 is: 18,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.90 : 32,786.60 = 13,682.38 : x
  2. Step 2: Convert to fraction form
    23,755.90/32,786.60 = 13,682.38/x
  3. Step 3: Cross multiply
    23,755.90x = 32,786.60 × 13,682.38
  4. Step 4: Simplify right side
    23,755.90x = 448,598,720.11
  5. Step 5: Solve for x
    x = 448,598,720.11/23,755.90
  6. Step 6: Final answer
    x = 18,883.68

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Why These Related Problems?

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