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Finding the Fourth Proportional to 27,283.91, 40,932.02 and 8,563.87

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Solution

The fourth proportional to 27,283.91, 40,932.02 and 8,563.87 is: 12,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.91 : 40,932.02 = 8,563.87 : x
  2. Step 2: Convert to fraction form
    27,283.91/40,932.02 = 8,563.87/x
  3. Step 3: Cross multiply
    27,283.91x = 40,932.02 × 8,563.87
  4. Step 4: Simplify right side
    27,283.91x = 350,536,498.12
  5. Step 5: Solve for x
    x = 350,536,498.12/27,283.91
  6. Step 6: Final answer
    x = 12,847.74

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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.