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Finding the Fourth Proportional to 17,196.48, 23,730.24 and 9,744

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Solution

The fourth proportional to 17,196.48, 23,730.24 and 9,744 is: 13,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.48 : 23,730.24 = 9,744 : x
  2. Step 2: Convert to fraction form
    17,196.48/23,730.24 = 9,744/x
  3. Step 3: Cross multiply
    17,196.48x = 23,730.24 × 9,744
  4. Step 4: Simplify right side
    17,196.48x = 231,227,458.56
  5. Step 5: Solve for x
    x = 231,227,458.56/17,196.48
  6. Step 6: Final answer
    x = 13,446.21

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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.