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Finding the Fourth Proportional to 17,449.92, 24,082.38 and 10,380.24

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Solution

The fourth proportional to 17,449.92, 24,082.38 and 10,380.24 is: 14,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.92 : 24,082.38 = 10,380.24 : x
  2. Step 2: Convert to fraction form
    17,449.92/24,082.38 = 10,380.24/x
  3. Step 3: Cross multiply
    17,449.92x = 24,082.38 × 10,380.24
  4. Step 4: Simplify right side
    17,449.92x = 249,980,884.17
  5. Step 5: Solve for x
    x = 249,980,884.17/17,449.92
  6. Step 6: Final answer
    x = 14,325.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.