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Finding the Fourth Proportional to 17,408.98, 24,024.37 and 9,451.21

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Solution

The fourth proportional to 17,408.98, 24,024.37 and 9,451.21 is: 13,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.98 : 24,024.37 = 9,451.21 : x
  2. Step 2: Convert to fraction form
    17,408.98/24,024.37 = 9,451.21/x
  3. Step 3: Cross multiply
    17,408.98x = 24,024.37 × 9,451.21
  4. Step 4: Simplify right side
    17,408.98x = 227,059,365.99
  5. Step 5: Solve for x
    x = 227,059,365.99/17,408.98
  6. Step 6: Final answer
    x = 13,042.66

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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.