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Finding the Fourth Proportional to 20,781.93, 31,172.90 and 5,199.56

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Solution

The fourth proportional to 20,781.93, 31,172.90 and 5,199.56 is: 7,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.93 : 31,172.90 = 5,199.56 : x
  2. Step 2: Convert to fraction form
    20,781.93/31,172.90 = 5,199.56/x
  3. Step 3: Cross multiply
    20,781.93x = 31,172.90 × 5,199.56
  4. Step 4: Simplify right side
    20,781.93x = 162,085,182.06
  5. Step 5: Solve for x
    x = 162,085,182.06/20,781.93
  6. Step 6: Final answer
    x = 7,799.33

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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.