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Finding the Fourth Proportional to 17,744.48, 26,622.12 and 7,882.88

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Solution

The fourth proportional to 17,744.48, 26,622.12 and 7,882.88 is: 11,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.48 : 26,622.12 = 7,882.88 : x
  2. Step 2: Convert to fraction form
    17,744.48/26,622.12 = 7,882.88/x
  3. Step 3: Cross multiply
    17,744.48x = 26,622.12 × 7,882.88
  4. Step 4: Simplify right side
    17,744.48x = 209,858,977.31
  5. Step 5: Solve for x
    x = 209,858,977.31/17,744.48
  6. Step 6: Final answer
    x = 11,826.72

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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.