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Finding the Fourth Proportional to 20,049.10, 30,065.37 and 7,567

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Solution

The fourth proportional to 20,049.10, 30,065.37 and 7,567 is: 11,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.10 : 30,065.37 = 7,567 : x
  2. Step 2: Convert to fraction form
    20,049.10/30,065.37 = 7,567/x
  3. Step 3: Cross multiply
    20,049.10x = 30,065.37 × 7,567
  4. Step 4: Simplify right side
    20,049.10x = 227,504,654.79
  5. Step 5: Solve for x
    x = 227,504,654.79/20,049.10
  6. Step 6: Final answer
    x = 11,347.37

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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.