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Finding the Fourth Proportional to 17,134.14, 23,645.65 and 9,580.79

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Solution

The fourth proportional to 17,134.14, 23,645.65 and 9,580.79 is: 13,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.14 : 23,645.65 = 9,580.79 : x
  2. Step 2: Convert to fraction form
    17,134.14/23,645.65 = 9,580.79/x
  3. Step 3: Cross multiply
    17,134.14x = 23,645.65 × 9,580.79
  4. Step 4: Simplify right side
    17,134.14x = 226,544,007.06
  5. Step 5: Solve for x
    x = 226,544,007.06/17,134.14
  6. Step 6: Final answer
    x = 13,221.79

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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.