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Finding the Fourth Proportional to 17,233.38, 23,780.39 and 9,678

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Solution

The fourth proportional to 17,233.38, 23,780.39 and 9,678 is: 13,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.38 : 23,780.39 = 9,678 : x
  2. Step 2: Convert to fraction form
    17,233.38/23,780.39 = 9,678/x
  3. Step 3: Cross multiply
    17,233.38x = 23,780.39 × 9,678
  4. Step 4: Simplify right side
    17,233.38x = 230,146,566.03
  5. Step 5: Solve for x
    x = 230,146,566.03/17,233.38
  6. Step 6: Final answer
    x = 13,354.70

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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.