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Finding the Fourth Proportional to 20,755.78, 31,133.77 and 5,173.40

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Solution

The fourth proportional to 20,755.78, 31,133.77 and 5,173.40 is: 7,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.78 : 31,133.77 = 5,173.40 : x
  2. Step 2: Convert to fraction form
    20,755.78/31,133.77 = 5,173.40/x
  3. Step 3: Cross multiply
    20,755.78x = 31,133.77 × 5,173.40
  4. Step 4: Simplify right side
    20,755.78x = 161,067,510.62
  5. Step 5: Solve for x
    x = 161,067,510.62/20,755.78
  6. Step 6: Final answer
    x = 7,760.13

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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.