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Finding the Fourth Proportional to 17,102.56, 25,653.04 and 5,414.24

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Solution

The fourth proportional to 17,102.56, 25,653.04 and 5,414.24 is: 8,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.56 : 25,653.04 = 5,414.24 : x
  2. Step 2: Convert to fraction form
    17,102.56/25,653.04 = 5,414.24/x
  3. Step 3: Cross multiply
    17,102.56x = 25,653.04 × 5,414.24
  4. Step 4: Simplify right side
    17,102.56x = 138,891,715.29
  5. Step 5: Solve for x
    x = 138,891,715.29/17,102.56
  6. Step 6: Final answer
    x = 8,121.11

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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.