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Finding the Fourth Proportional to 17,114.88, 25,668.48 and 4,800

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Solution

The fourth proportional to 17,114.88, 25,668.48 and 4,800 is: 7,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.88 : 25,668.48 = 4,800 : x
  2. Step 2: Convert to fraction form
    17,114.88/25,668.48 = 4,800/x
  3. Step 3: Cross multiply
    17,114.88x = 25,668.48 × 4,800
  4. Step 4: Simplify right side
    17,114.88x = 123,208,704
  5. Step 5: Solve for x
    x = 123,208,704/17,114.88
  6. Step 6: Final answer
    x = 7,198.92

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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.