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Finding the Fourth Proportional to 17,100.52, 25,650.78 and 7,866.60

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Solution

The fourth proportional to 17,100.52, 25,650.78 and 7,866.60 is: 11,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100.52 : 25,650.78 = 7,866.60 : x
  2. Step 2: Convert to fraction form
    17,100.52/25,650.78 = 7,866.60/x
  3. Step 3: Cross multiply
    17,100.52x = 25,650.78 × 7,866.60
  4. Step 4: Simplify right side
    17,100.52x = 201,784,425.95
  5. Step 5: Solve for x
    x = 201,784,425.95/17,100.52
  6. Step 6: Final answer
    x = 11,799.90

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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.