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Finding the Fourth Proportional to 20,337.46, 30,500.72 and 7,186.30

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Solution

The fourth proportional to 20,337.46, 30,500.72 and 7,186.30 is: 10,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,337.46 : 30,500.72 = 7,186.30 : x
  2. Step 2: Convert to fraction form
    20,337.46/30,500.72 = 7,186.30/x
  3. Step 3: Cross multiply
    20,337.46x = 30,500.72 × 7,186.30
  4. Step 4: Simplify right side
    20,337.46x = 219,187,324.14
  5. Step 5: Solve for x
    x = 219,187,324.14/20,337.46
  6. Step 6: Final answer
    x = 10,777.52

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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.