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Finding the Fourth Proportional to 17,408.69, 24,023.85 and 9,450.75

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Solution

The fourth proportional to 17,408.69, 24,023.85 and 9,450.75 is: 13,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.69 : 24,023.85 = 9,450.75 : x
  2. Step 2: Convert to fraction form
    17,408.69/24,023.85 = 9,450.75/x
  3. Step 3: Cross multiply
    17,408.69x = 24,023.85 × 9,450.75
  4. Step 4: Simplify right side
    17,408.69x = 227,043,400.39
  5. Step 5: Solve for x
    x = 227,043,400.39/17,408.69
  6. Step 6: Final answer
    x = 13,041.96

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