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Finding the Fourth Proportional to 19,616.88, 29,438.28 and 9,229.44

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Solution

The fourth proportional to 19,616.88, 29,438.28 and 9,229.44 is: 13,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.88 : 29,438.28 = 9,229.44 : x
  2. Step 2: Convert to fraction form
    19,616.88/29,438.28 = 9,229.44/x
  3. Step 3: Cross multiply
    19,616.88x = 29,438.28 × 9,229.44
  4. Step 4: Simplify right side
    19,616.88x = 271,698,838.96
  5. Step 5: Solve for x
    x = 271,698,838.96/19,616.88
  6. Step 6: Final answer
    x = 13,850.26

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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.