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Finding the Fourth Proportional to 17,676.12, 24,392.10 and 9,716.81

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Solution

The fourth proportional to 17,676.12, 24,392.10 and 9,716.81 is: 13,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.12 : 24,392.10 = 9,716.81 : x
  2. Step 2: Convert to fraction form
    17,676.12/24,392.10 = 9,716.81/x
  3. Step 3: Cross multiply
    17,676.12x = 24,392.10 × 9,716.81
  4. Step 4: Simplify right side
    17,676.12x = 237,013,401.20
  5. Step 5: Solve for x
    x = 237,013,401.20/17,676.12
  6. Step 6: Final answer
    x = 13,408.68

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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.