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Finding the Fourth Proportional to 17,134.86, 23,645.93 and 9,581.20

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Solution

The fourth proportional to 17,134.86, 23,645.93 and 9,581.20 is: 13,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.86 : 23,645.93 = 9,581.20 : x
  2. Step 2: Convert to fraction form
    17,134.86/23,645.93 = 9,581.20/x
  3. Step 3: Cross multiply
    17,134.86x = 23,645.93 × 9,581.20
  4. Step 4: Simplify right side
    17,134.86x = 226,556,408.47
  5. Step 5: Solve for x
    x = 226,556,408.47/17,134.86
  6. Step 6: Final answer
    x = 13,221.96

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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.