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Finding the Fourth Proportional to 19,644.80, 29,431.20 and 9,233.60

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Solution

The fourth proportional to 19,644.80, 29,431.20 and 9,233.60 is: 13,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.80 : 29,431.20 = 9,233.60 : x
  2. Step 2: Convert to fraction form
    19,644.80/29,431.20 = 9,233.60/x
  3. Step 3: Cross multiply
    19,644.80x = 29,431.20 × 9,233.60
  4. Step 4: Simplify right side
    19,644.80x = 271,755,928.32
  5. Step 5: Solve for x
    x = 271,755,928.32/19,644.80
  6. Step 6: Final answer
    x = 13,833.48

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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.