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Finding the Fourth Proportional to 17,082.43, 25,622.19 and 9,663.55

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Solution

The fourth proportional to 17,082.43, 25,622.19 and 9,663.55 is: 14,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.43 : 25,622.19 = 9,663.55 : x
  2. Step 2: Convert to fraction form
    17,082.43/25,622.19 = 9,663.55/x
  3. Step 3: Cross multiply
    17,082.43x = 25,622.19 × 9,663.55
  4. Step 4: Simplify right side
    17,082.43x = 247,601,314.17
  5. Step 5: Solve for x
    x = 247,601,314.17/17,082.43
  6. Step 6: Final answer
    x = 14,494.50

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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.