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Finding the Fourth Proportional to 23,086.31, 31,912.90 and 20,593.13

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Solution

The fourth proportional to 23,086.31, 31,912.90 and 20,593.13 is: 28,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.31 : 31,912.90 = 20,593.13 : x
  2. Step 2: Convert to fraction form
    23,086.31/31,912.90 = 20,593.13/x
  3. Step 3: Cross multiply
    23,086.31x = 31,912.90 × 20,593.13
  4. Step 4: Simplify right side
    23,086.31x = 657,186,338.81
  5. Step 5: Solve for x
    x = 657,186,338.81/23,086.31
  6. Step 6: Final answer
    x = 28,466.50

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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.