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Finding the Fourth Proportional to 17,408.43, 24,023.50 and 9,450.50

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Solution

The fourth proportional to 17,408.43, 24,023.50 and 9,450.50 is: 13,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.43 : 24,023.50 = 9,450.50 : x
  2. Step 2: Convert to fraction form
    17,408.43/24,023.50 = 9,450.50/x
  3. Step 3: Cross multiply
    17,408.43x = 24,023.50 × 9,450.50
  4. Step 4: Simplify right side
    17,408.43x = 227,034,086.75
  5. Step 5: Solve for x
    x = 227,034,086.75/17,408.43
  6. Step 6: Final answer
    x = 13,041.62

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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.