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Finding the Fourth Proportional to 22,451.70, 30,980.94 and 12,379.50

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Solution

The fourth proportional to 22,451.70, 30,980.94 and 12,379.50 is: 17,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.70 : 30,980.94 = 12,379.50 : x
  2. Step 2: Convert to fraction form
    22,451.70/30,980.94 = 12,379.50/x
  3. Step 3: Cross multiply
    22,451.70x = 30,980.94 × 12,379.50
  4. Step 4: Simplify right side
    22,451.70x = 383,528,546.73
  5. Step 5: Solve for x
    x = 383,528,546.73/22,451.70
  6. Step 6: Final answer
    x = 17,082.38

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Why These Related Problems?

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