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Finding the Fourth Proportional to 22,983.68, 31,692.66 and 20,971.64

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Solution

The fourth proportional to 22,983.68, 31,692.66 and 20,971.64 is: 28,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.68 : 31,692.66 = 20,971.64 : x
  2. Step 2: Convert to fraction form
    22,983.68/31,692.66 = 20,971.64/x
  3. Step 3: Cross multiply
    22,983.68x = 31,692.66 × 20,971.64
  4. Step 4: Simplify right side
    22,983.68x = 664,647,056.16
  5. Step 5: Solve for x
    x = 664,647,056.16/22,983.68
  6. Step 6: Final answer
    x = 28,918.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.