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Finding the Fourth Proportional to 17,146.38, 23,661.88 and 9,592.68

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Solution

The fourth proportional to 17,146.38, 23,661.88 and 9,592.68 is: 13,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.38 : 23,661.88 = 9,592.68 : x
  2. Step 2: Convert to fraction form
    17,146.38/23,661.88 = 9,592.68/x
  3. Step 3: Cross multiply
    17,146.38x = 23,661.88 × 9,592.68
  4. Step 4: Simplify right side
    17,146.38x = 226,980,843.04
  5. Step 5: Solve for x
    x = 226,980,843.04/17,146.38
  6. Step 6: Final answer
    x = 13,237.83

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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.