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Finding the Fourth Proportional to 21,291.09, 31,936.63 and 8,147.49

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Solution

The fourth proportional to 21,291.09, 31,936.63 and 8,147.49 is: 12,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.09 : 31,936.63 = 8,147.49 : x
  2. Step 2: Convert to fraction form
    21,291.09/31,936.63 = 8,147.49/x
  3. Step 3: Cross multiply
    21,291.09x = 31,936.63 × 8,147.49
  4. Step 4: Simplify right side
    21,291.09x = 260,203,373.56
  5. Step 5: Solve for x
    x = 260,203,373.56/21,291.09
  6. Step 6: Final answer
    x = 12,221.23

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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.