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Finding the Fourth Proportional to 12,497.50, 18,725.49 and 8,791.94

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Solution

The fourth proportional to 12,497.50, 18,725.49 and 8,791.94 is: 13,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.50 : 18,725.49 = 8,791.94 : x
  2. Step 2: Convert to fraction form
    12,497.50/18,725.49 = 8,791.94/x
  3. Step 3: Cross multiply
    12,497.50x = 18,725.49 × 8,791.94
  4. Step 4: Simplify right side
    12,497.50x = 164,633,406.64
  5. Step 5: Solve for x
    x = 164,633,406.64/12,497.50
  6. Step 6: Final answer
    x = 13,173.31

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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.