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Finding the Fourth Proportional to 21,116.70, 31,676.67 and 9,431.10

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Solution

The fourth proportional to 21,116.70, 31,676.67 and 9,431.10 is: 14,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.70 : 31,676.67 = 9,431.10 : x
  2. Step 2: Convert to fraction form
    21,116.70/31,676.67 = 9,431.10/x
  3. Step 3: Cross multiply
    21,116.70x = 31,676.67 × 9,431.10
  4. Step 4: Simplify right side
    21,116.70x = 298,745,842.44
  5. Step 5: Solve for x
    x = 298,745,842.44/21,116.70
  6. Step 6: Final answer
    x = 14,147.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.