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Finding the Fourth Proportional to 22,817.36, 34,225 and 16,163.28

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Solution

The fourth proportional to 22,817.36, 34,225 and 16,163.28 is: 24,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.36 : 34,225 = 16,163.28 : x
  2. Step 2: Convert to fraction form
    22,817.36/34,225 = 16,163.28/x
  3. Step 3: Cross multiply
    22,817.36x = 34,225 × 16,163.28
  4. Step 4: Simplify right side
    22,817.36x = 553,188,258
  5. Step 5: Solve for x
    x = 553,188,258/22,817.36
  6. Step 6: Final answer
    x = 24,244.18

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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.