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Finding the Fourth Proportional to 17,229.29, 23,770.19 and 9,772.97

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Solution

The fourth proportional to 17,229.29, 23,770.19 and 9,772.97 is: 13,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.29 : 23,770.19 = 9,772.97 : x
  2. Step 2: Convert to fraction form
    17,229.29/23,770.19 = 9,772.97/x
  3. Step 3: Cross multiply
    17,229.29x = 23,770.19 × 9,772.97
  4. Step 4: Simplify right side
    17,229.29x = 232,305,259.35
  5. Step 5: Solve for x
    x = 232,305,259.35/17,229.29
  6. Step 6: Final answer
    x = 13,483.16

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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.