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Finding the Fourth Proportional to 20,411.67, 30,624.34 and 7,932.11

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Solution

The fourth proportional to 20,411.67, 30,624.34 and 7,932.11 is: 11,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.67 : 30,624.34 = 7,932.11 : x
  2. Step 2: Convert to fraction form
    20,411.67/30,624.34 = 7,932.11/x
  3. Step 3: Cross multiply
    20,411.67x = 30,624.34 × 7,932.11
  4. Step 4: Simplify right side
    20,411.67x = 242,915,633.56
  5. Step 5: Solve for x
    x = 242,915,633.56/20,411.67
  6. Step 6: Final answer
    x = 11,900.82

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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.