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Finding the Fourth Proportional to 20,719.80, 31,034.34 and 20,263.23

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Solution

The fourth proportional to 20,719.80, 31,034.34 and 20,263.23 is: 30,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.80 : 31,034.34 = 20,263.23 : x
  2. Step 2: Convert to fraction form
    20,719.80/31,034.34 = 20,263.23/x
  3. Step 3: Cross multiply
    20,719.80x = 31,034.34 × 20,263.23
  4. Step 4: Simplify right side
    20,719.80x = 628,855,969.32
  5. Step 5: Solve for x
    x = 628,855,969.32/20,719.80
  6. Step 6: Final answer
    x = 30,350.48

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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.