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Finding the Fourth Proportional to 17,408.25, 24,023.82 and 9,450.47

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Solution

The fourth proportional to 17,408.25, 24,023.82 and 9,450.47 is: 13,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.25 : 24,023.82 = 9,450.47 : x
  2. Step 2: Convert to fraction form
    17,408.25/24,023.82 = 9,450.47/x
  3. Step 3: Cross multiply
    17,408.25x = 24,023.82 × 9,450.47
  4. Step 4: Simplify right side
    17,408.25x = 227,036,485.69
  5. Step 5: Solve for x
    x = 227,036,485.69/17,408.25
  6. Step 6: Final answer
    x = 13,041.89

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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.