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Finding the Fourth Proportional to 24,932.86, 37,399 and 7,163.95

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Solution

The fourth proportional to 24,932.86, 37,399 and 7,163.95 is: 10,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.86 : 37,399 = 7,163.95 : x
  2. Step 2: Convert to fraction form
    24,932.86/37,399 = 7,163.95/x
  3. Step 3: Cross multiply
    24,932.86x = 37,399 × 7,163.95
  4. Step 4: Simplify right side
    24,932.86x = 267,924,566.05
  5. Step 5: Solve for x
    x = 267,924,566.05/24,932.86
  6. Step 6: Final answer
    x = 10,745.84

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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.