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Finding the Fourth Proportional to 20,969.66, 31,453.68 and 7,822.02

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Solution

The fourth proportional to 20,969.66, 31,453.68 and 7,822.02 is: 11,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.66 : 31,453.68 = 7,822.02 : x
  2. Step 2: Convert to fraction form
    20,969.66/31,453.68 = 7,822.02/x
  3. Step 3: Cross multiply
    20,969.66x = 31,453.68 × 7,822.02
  4. Step 4: Simplify right side
    20,969.66x = 246,031,314.03
  5. Step 5: Solve for x
    x = 246,031,314.03/20,969.66
  6. Step 6: Final answer
    x = 11,732.73

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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.