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Finding the Fourth Proportional to 22,380.34, 30,884.34 and 12,171.10

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Solution

The fourth proportional to 22,380.34, 30,884.34 and 12,171.10 is: 16,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.34 : 30,884.34 = 12,171.10 : x
  2. Step 2: Convert to fraction form
    22,380.34/30,884.34 = 12,171.10/x
  3. Step 3: Cross multiply
    22,380.34x = 30,884.34 × 12,171.10
  4. Step 4: Simplify right side
    22,380.34x = 375,896,390.57
  5. Step 5: Solve for x
    x = 375,896,390.57/22,380.34
  6. Step 6: Final answer
    x = 16,795.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.