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Finding the Fourth Proportional to 11,425.59, 17,082.04 and 9,689.94

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Solution

The fourth proportional to 11,425.59, 17,082.04 and 9,689.94 is: 14,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.59 : 17,082.04 = 9,689.94 : x
  2. Step 2: Convert to fraction form
    11,425.59/17,082.04 = 9,689.94/x
  3. Step 3: Cross multiply
    11,425.59x = 17,082.04 × 9,689.94
  4. Step 4: Simplify right side
    11,425.59x = 165,523,942.68
  5. Step 5: Solve for x
    x = 165,523,942.68/11,425.59
  6. Step 6: Final answer
    x = 14,487.12

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Why These Related Problems?

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