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Finding the Fourth Proportional to 27,217.37, 40,827.54 and 8,499.98

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Solution

The fourth proportional to 27,217.37, 40,827.54 and 8,499.98 is: 12,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.37 : 40,827.54 = 8,499.98 : x
  2. Step 2: Convert to fraction form
    27,217.37/40,827.54 = 8,499.98/x
  3. Step 3: Cross multiply
    27,217.37x = 40,827.54 × 8,499.98
  4. Step 4: Simplify right side
    27,217.37x = 347,033,273.45
  5. Step 5: Solve for x
    x = 347,033,273.45/27,217.37
  6. Step 6: Final answer
    x = 12,750.43

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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.