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Finding the Fourth Proportional to 17,157.26, 25,733.27 and 4,678.30

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Solution

The fourth proportional to 17,157.26, 25,733.27 and 4,678.30 is: 7,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.26 : 25,733.27 = 4,678.30 : x
  2. Step 2: Convert to fraction form
    17,157.26/25,733.27 = 4,678.30/x
  3. Step 3: Cross multiply
    17,157.26x = 25,733.27 × 4,678.30
  4. Step 4: Simplify right side
    17,157.26x = 120,388,000.90
  5. Step 5: Solve for x
    x = 120,388,000.90/17,157.26
  6. Step 6: Final answer
    x = 7,016.74

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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.