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Finding the Fourth Proportional to 22,715.28, 34,072.96 and 10,241.22

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Solution

The fourth proportional to 22,715.28, 34,072.96 and 10,241.22 is: 15,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.28 : 34,072.96 = 10,241.22 : x
  2. Step 2: Convert to fraction form
    22,715.28/34,072.96 = 10,241.22/x
  3. Step 3: Cross multiply
    22,715.28x = 34,072.96 × 10,241.22
  4. Step 4: Simplify right side
    22,715.28x = 348,948,679.41
  5. Step 5: Solve for x
    x = 348,948,679.41/22,715.28
  6. Step 6: Final answer
    x = 15,361.85

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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.