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Finding the Fourth Proportional to 11,682.39, 17,498.68 and 9,451.65

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Solution

The fourth proportional to 11,682.39, 17,498.68 and 9,451.65 is: 14,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.39 : 17,498.68 = 9,451.65 : x
  2. Step 2: Convert to fraction form
    11,682.39/17,498.68 = 9,451.65/x
  3. Step 3: Cross multiply
    11,682.39x = 17,498.68 × 9,451.65
  4. Step 4: Simplify right side
    11,682.39x = 165,391,398.82
  5. Step 5: Solve for x
    x = 165,391,398.82/11,682.39
  6. Step 6: Final answer
    x = 14,157.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.