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Finding the Fourth Proportional to 17,175.56, 25,770.75 and 9,276.50

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Solution

The fourth proportional to 17,175.56, 25,770.75 and 9,276.50 is: 13,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.56 : 25,770.75 = 9,276.50 : x
  2. Step 2: Convert to fraction form
    17,175.56/25,770.75 = 9,276.50/x
  3. Step 3: Cross multiply
    17,175.56x = 25,770.75 × 9,276.50
  4. Step 4: Simplify right side
    17,175.56x = 239,062,315.99
  5. Step 5: Solve for x
    x = 239,062,315.99/17,175.56
  6. Step 6: Final answer
    x = 13,918.75

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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.