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Finding the Fourth Proportional to 17,348.80, 25,984.32 and 10,408.96

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Solution

The fourth proportional to 17,348.80, 25,984.32 and 10,408.96 is: 15,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348.80 : 25,984.32 = 10,408.96 : x
  2. Step 2: Convert to fraction form
    17,348.80/25,984.32 = 10,408.96/x
  3. Step 3: Cross multiply
    17,348.80x = 25,984.32 × 10,408.96
  4. Step 4: Simplify right side
    17,348.80x = 270,469,747.51
  5. Step 5: Solve for x
    x = 270,469,747.51/17,348.80
  6. Step 6: Final answer
    x = 15,590.11

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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.