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Finding the Fourth Proportional to 17,229.96, 23,776.50 and 9,780.36

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Solution

The fourth proportional to 17,229.96, 23,776.50 and 9,780.36 is: 13,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.96 : 23,776.50 = 9,780.36 : x
  2. Step 2: Convert to fraction form
    17,229.96/23,776.50 = 9,780.36/x
  3. Step 3: Cross multiply
    17,229.96x = 23,776.50 × 9,780.36
  4. Step 4: Simplify right side
    17,229.96x = 232,542,729.54
  5. Step 5: Solve for x
    x = 232,542,729.54/17,229.96
  6. Step 6: Final answer
    x = 13,496.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.