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Finding the Fourth Proportional to 21,324.09, 31,999.97 and 9,637.41

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Solution

The fourth proportional to 21,324.09, 31,999.97 and 9,637.41 is: 14,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.09 : 31,999.97 = 9,637.41 : x
  2. Step 2: Convert to fraction form
    21,324.09/31,999.97 = 9,637.41/x
  3. Step 3: Cross multiply
    21,324.09x = 31,999.97 × 9,637.41
  4. Step 4: Simplify right side
    21,324.09x = 308,396,830.88
  5. Step 5: Solve for x
    x = 308,396,830.88/21,324.09
  6. Step 6: Final answer
    x = 14,462.37

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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.