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Finding the Fourth Proportional to 17,441.64, 26,172 and 7,580.88

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Solution

The fourth proportional to 17,441.64, 26,172 and 7,580.88 is: 11,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.64 : 26,172 = 7,580.88 : x
  2. Step 2: Convert to fraction form
    17,441.64/26,172 = 7,580.88/x
  3. Step 3: Cross multiply
    17,441.64x = 26,172 × 7,580.88
  4. Step 4: Simplify right side
    17,441.64x = 198,406,791.36
  5. Step 5: Solve for x
    x = 198,406,791.36/17,441.64
  6. Step 6: Final answer
    x = 11,375.47

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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.