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Finding the Fourth Proportional to 27,127.50, 40,691.97 and 8,659.50

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Solution

The fourth proportional to 27,127.50, 40,691.97 and 8,659.50 is: 12,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127.50 : 40,691.97 = 8,659.50 : x
  2. Step 2: Convert to fraction form
    27,127.50/40,691.97 = 8,659.50/x
  3. Step 3: Cross multiply
    27,127.50x = 40,691.97 × 8,659.50
  4. Step 4: Simplify right side
    27,127.50x = 352,372,114.22
  5. Step 5: Solve for x
    x = 352,372,114.22/27,127.50
  6. Step 6: Final answer
    x = 12,989.48

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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.