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Finding the Fourth Proportional to 12,107.34, 18,169.38 and 7,949.34

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Solution

The fourth proportional to 12,107.34, 18,169.38 and 7,949.34 is: 11,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.34 : 18,169.38 = 7,949.34 : x
  2. Step 2: Convert to fraction form
    12,107.34/18,169.38 = 7,949.34/x
  3. Step 3: Cross multiply
    12,107.34x = 18,169.38 × 7,949.34
  4. Step 4: Simplify right side
    12,107.34x = 144,434,579.21
  5. Step 5: Solve for x
    x = 144,434,579.21/12,107.34
  6. Step 6: Final answer
    x = 11,929.51

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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.