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Finding the Fourth Proportional to 23,186.52, 34,772.49 and 7,600.50

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Solution

The fourth proportional to 23,186.52, 34,772.49 and 7,600.50 is: 11,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.52 : 34,772.49 = 7,600.50 : x
  2. Step 2: Convert to fraction form
    23,186.52/34,772.49 = 7,600.50/x
  3. Step 3: Cross multiply
    23,186.52x = 34,772.49 × 7,600.50
  4. Step 4: Simplify right side
    23,186.52x = 264,288,310.25
  5. Step 5: Solve for x
    x = 264,288,310.25/23,186.52
  6. Step 6: Final answer
    x = 11,398.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.