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Finding the Fourth Proportional to 17,247, 23,800.89 and 9,795

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Solution

The fourth proportional to 17,247, 23,800.89 and 9,795 is: 13,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,247 : 23,800.89 = 9,795 : x
  2. Step 2: Convert to fraction form
    17,247/23,800.89 = 9,795/x
  3. Step 3: Cross multiply
    17,247x = 23,800.89 × 9,795
  4. Step 4: Simplify right side
    17,247x = 233,129,717.55
  5. Step 5: Solve for x
    x = 233,129,717.55/17,247
  6. Step 6: Final answer
    x = 13,517.12

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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.