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Finding the Fourth Proportional to 17,192, 23,724.96 and 9,740

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Solution

The fourth proportional to 17,192, 23,724.96 and 9,740 is: 13,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,192 : 23,724.96 = 9,740 : x
  2. Step 2: Convert to fraction form
    17,192/23,724.96 = 9,740/x
  3. Step 3: Cross multiply
    17,192x = 23,724.96 × 9,740
  4. Step 4: Simplify right side
    17,192x = 231,081,110.40
  5. Step 5: Solve for x
    x = 231,081,110.40/17,192
  6. Step 6: Final answer
    x = 13,441.20

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Why These Related Problems?

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