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Finding the Fourth Proportional to 15,747.94, 21,731.88 and 8,674.30

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Solution

The fourth proportional to 15,747.94, 21,731.88 and 8,674.30 is: 11,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.94 : 21,731.88 = 8,674.30 : x
  2. Step 2: Convert to fraction form
    15,747.94/21,731.88 = 8,674.30/x
  3. Step 3: Cross multiply
    15,747.94x = 21,731.88 × 8,674.30
  4. Step 4: Simplify right side
    15,747.94x = 188,508,846.68
  5. Step 5: Solve for x
    x = 188,508,846.68/15,747.94
  6. Step 6: Final answer
    x = 11,970.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.