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Finding the Fourth Proportional to 21,162.44, 31,744.25 and 9,310.04

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Solution

The fourth proportional to 21,162.44, 31,744.25 and 9,310.04 is: 13,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.44 : 31,744.25 = 9,310.04 : x
  2. Step 2: Convert to fraction form
    21,162.44/31,744.25 = 9,310.04/x
  3. Step 3: Cross multiply
    21,162.44x = 31,744.25 × 9,310.04
  4. Step 4: Simplify right side
    21,162.44x = 295,540,032.00
  5. Step 5: Solve for x
    x = 295,540,032.00/21,162.44
  6. Step 6: Final answer
    x = 13,965.31

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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.