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Finding the Fourth Proportional to 17,102.82, 25,637.78 and 5,408.04

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Solution

The fourth proportional to 17,102.82, 25,637.78 and 5,408.04 is: 8,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.82 : 25,637.78 = 5,408.04 : x
  2. Step 2: Convert to fraction form
    17,102.82/25,637.78 = 5,408.04/x
  3. Step 3: Cross multiply
    17,102.82x = 25,637.78 × 5,408.04
  4. Step 4: Simplify right side
    17,102.82x = 138,650,139.75
  5. Step 5: Solve for x
    x = 138,650,139.75/17,102.82
  6. Step 6: Final answer
    x = 8,106.86

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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.