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Finding the Fourth Proportional to 17,680.20, 26,516.18 and 7,814.10

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Solution

The fourth proportional to 17,680.20, 26,516.18 and 7,814.10 is: 11,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.20 : 26,516.18 = 7,814.10 : x
  2. Step 2: Convert to fraction form
    17,680.20/26,516.18 = 7,814.10/x
  3. Step 3: Cross multiply
    17,680.20x = 26,516.18 × 7,814.10
  4. Step 4: Simplify right side
    17,680.20x = 207,200,082.14
  5. Step 5: Solve for x
    x = 207,200,082.14/17,680.20
  6. Step 6: Final answer
    x = 11,719.33

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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.