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Finding the Fourth Proportional to 27,267.26, 40,899.71 and 8,546.87

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Solution

The fourth proportional to 27,267.26, 40,899.71 and 8,546.87 is: 12,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267.26 : 40,899.71 = 8,546.87 : x
  2. Step 2: Convert to fraction form
    27,267.26/40,899.71 = 8,546.87/x
  3. Step 3: Cross multiply
    27,267.26x = 40,899.71 × 8,546.87
  4. Step 4: Simplify right side
    27,267.26x = 349,564,628.02
  5. Step 5: Solve for x
    x = 349,564,628.02/27,267.26
  6. Step 6: Final answer
    x = 12,819.94

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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.