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Finding the Fourth Proportional to 11,516.40, 17,274.88 and 8,613.14

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Solution

The fourth proportional to 11,516.40, 17,274.88 and 8,613.14 is: 12,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.40 : 17,274.88 = 8,613.14 : x
  2. Step 2: Convert to fraction form
    11,516.40/17,274.88 = 8,613.14/x
  3. Step 3: Cross multiply
    11,516.40x = 17,274.88 × 8,613.14
  4. Step 4: Simplify right side
    11,516.40x = 148,790,959.92
  5. Step 5: Solve for x
    x = 148,790,959.92/11,516.40
  6. Step 6: Final answer
    x = 12,919.92

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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.