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Finding the Fourth Proportional to 27,245.44, 37,594.08 and 17,170

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Solution

The fourth proportional to 27,245.44, 37,594.08 and 17,170 is: 23,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.44 : 37,594.08 = 17,170 : x
  2. Step 2: Convert to fraction form
    27,245.44/37,594.08 = 17,170/x
  3. Step 3: Cross multiply
    27,245.44x = 37,594.08 × 17,170
  4. Step 4: Simplify right side
    27,245.44x = 645,490,353.60
  5. Step 5: Solve for x
    x = 645,490,353.60/27,245.44
  6. Step 6: Final answer
    x = 23,691.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.