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Finding the Fourth Proportional to 11,680.78, 17,516.86 and 9,186.84

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Solution

The fourth proportional to 11,680.78, 17,516.86 and 9,186.84 is: 13,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.78 : 17,516.86 = 9,186.84 : x
  2. Step 2: Convert to fraction form
    11,680.78/17,516.86 = 9,186.84/x
  3. Step 3: Cross multiply
    11,680.78x = 17,516.86 × 9,186.84
  4. Step 4: Simplify right side
    11,680.78x = 160,924,590.12
  5. Step 5: Solve for x
    x = 160,924,590.12/11,680.78
  6. Step 6: Final answer
    x = 13,776.88

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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.