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Finding the Fourth Proportional to 19,851.40, 29,755.50 and 8,161.48

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Solution

The fourth proportional to 19,851.40, 29,755.50 and 8,161.48 is: 12,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.40 : 29,755.50 = 8,161.48 : x
  2. Step 2: Convert to fraction form
    19,851.40/29,755.50 = 8,161.48/x
  3. Step 3: Cross multiply
    19,851.40x = 29,755.50 × 8,161.48
  4. Step 4: Simplify right side
    19,851.40x = 242,848,918.14
  5. Step 5: Solve for x
    x = 242,848,918.14/19,851.40
  6. Step 6: Final answer
    x = 12,233.34

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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.