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Finding the Fourth Proportional to 11,680.39, 17,495.68 and 9,449.65

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Solution

The fourth proportional to 11,680.39, 17,495.68 and 9,449.65 is: 14,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.39 : 17,495.68 = 9,449.65 : x
  2. Step 2: Convert to fraction form
    11,680.39/17,495.68 = 9,449.65/x
  3. Step 3: Cross multiply
    11,680.39x = 17,495.68 × 9,449.65
  4. Step 4: Simplify right side
    11,680.39x = 165,328,052.51
  5. Step 5: Solve for x
    x = 165,328,052.51/11,680.39
  6. Step 6: Final answer
    x = 14,154.33

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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.