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Finding the Fourth Proportional to 25,274.82, 37,917.09 and 9,691.23

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Solution

The fourth proportional to 25,274.82, 37,917.09 and 9,691.23 is: 14,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.82 : 37,917.09 = 9,691.23 : x
  2. Step 2: Convert to fraction form
    25,274.82/37,917.09 = 9,691.23/x
  3. Step 3: Cross multiply
    25,274.82x = 37,917.09 × 9,691.23
  4. Step 4: Simplify right side
    25,274.82x = 367,463,191.66
  5. Step 5: Solve for x
    x = 367,463,191.66/25,274.82
  6. Step 6: Final answer
    x = 14,538.71

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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.