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Finding the Fourth Proportional to 19,638.80, 29,422.20 and 9,227.60

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Solution

The fourth proportional to 19,638.80, 29,422.20 and 9,227.60 is: 13,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.80 : 29,422.20 = 9,227.60 : x
  2. Step 2: Convert to fraction form
    19,638.80/29,422.20 = 9,227.60/x
  3. Step 3: Cross multiply
    19,638.80x = 29,422.20 × 9,227.60
  4. Step 4: Simplify right side
    19,638.80x = 271,496,292.72
  5. Step 5: Solve for x
    x = 271,496,292.72/19,638.80
  6. Step 6: Final answer
    x = 13,824.48

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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.