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Finding the Fourth Proportional to 27,342, 41,016.96 and 8,615.70

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Solution

The fourth proportional to 27,342, 41,016.96 and 8,615.70 is: 12,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 41,016.96 = 8,615.70 : x
  2. Step 2: Convert to fraction form
    27,342/41,016.96 = 8,615.70/x
  3. Step 3: Cross multiply
    27,342x = 41,016.96 × 8,615.70
  4. Step 4: Simplify right side
    27,342x = 353,389,822.27
  5. Step 5: Solve for x
    x = 353,389,822.27/27,342
  6. Step 6: Final answer
    x = 12,924.80

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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.