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Finding the Fourth Proportional to 20,519.34, 30,768 and 10,634.10

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Solution

The fourth proportional to 20,519.34, 30,768 and 10,634.10 is: 15,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.34 : 30,768 = 10,634.10 : x
  2. Step 2: Convert to fraction form
    20,519.34/30,768 = 10,634.10/x
  3. Step 3: Cross multiply
    20,519.34x = 30,768 × 10,634.10
  4. Step 4: Simplify right side
    20,519.34x = 327,189,988.80
  5. Step 5: Solve for x
    x = 327,189,988.80/20,519.34
  6. Step 6: Final answer
    x = 15,945.44

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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.