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Finding the Fourth Proportional to 17,408.10, 24,023.21 and 9,450.33

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Solution

The fourth proportional to 17,408.10, 24,023.21 and 9,450.33 is: 13,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.10 : 24,023.21 = 9,450.33 : x
  2. Step 2: Convert to fraction form
    17,408.10/24,023.21 = 9,450.33/x
  3. Step 3: Cross multiply
    17,408.10x = 24,023.21 × 9,450.33
  4. Step 4: Simplify right side
    17,408.10x = 227,027,214.91
  5. Step 5: Solve for x
    x = 227,027,214.91/17,408.10
  6. Step 6: Final answer
    x = 13,041.47

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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.