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Finding the Fourth Proportional to 17,076.69, 23,564.97 and 9,523.83

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Solution

The fourth proportional to 17,076.69, 23,564.97 and 9,523.83 is: 13,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.69 : 23,564.97 = 9,523.83 : x
  2. Step 2: Convert to fraction form
    17,076.69/23,564.97 = 9,523.83/x
  3. Step 3: Cross multiply
    17,076.69x = 23,564.97 × 9,523.83
  4. Step 4: Simplify right side
    17,076.69x = 224,428,768.24
  5. Step 5: Solve for x
    x = 224,428,768.24/17,076.69
  6. Step 6: Final answer
    x = 13,142.40

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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.