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Finding the Fourth Proportional to 20,781.80, 31,172.70 and 5,199.42

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Solution

The fourth proportional to 20,781.80, 31,172.70 and 5,199.42 is: 7,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.80 : 31,172.70 = 5,199.42 : x
  2. Step 2: Convert to fraction form
    20,781.80/31,172.70 = 5,199.42/x
  3. Step 3: Cross multiply
    20,781.80x = 31,172.70 × 5,199.42
  4. Step 4: Simplify right side
    20,781.80x = 162,079,959.83
  5. Step 5: Solve for x
    x = 162,079,959.83/20,781.80
  6. Step 6: Final answer
    x = 7,799.13

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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.