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Finding the Fourth Proportional to 22,912.96, 31,617.26 and 13,354.87

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Solution

The fourth proportional to 22,912.96, 31,617.26 and 13,354.87 is: 18,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.96 : 31,617.26 = 13,354.87 : x
  2. Step 2: Convert to fraction form
    22,912.96/31,617.26 = 13,354.87/x
  3. Step 3: Cross multiply
    22,912.96x = 31,617.26 × 13,354.87
  4. Step 4: Simplify right side
    22,912.96x = 422,244,330.28
  5. Step 5: Solve for x
    x = 422,244,330.28/22,912.96
  6. Step 6: Final answer
    x = 18,428.19

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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.