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Finding the Fourth Proportional to 24,745.86, 37,114.83 and 7,211.59

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Solution

The fourth proportional to 24,745.86, 37,114.83 and 7,211.59 is: 10,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.86 : 37,114.83 = 7,211.59 : x
  2. Step 2: Convert to fraction form
    24,745.86/37,114.83 = 7,211.59/x
  3. Step 3: Cross multiply
    24,745.86x = 37,114.83 × 7,211.59
  4. Step 4: Simplify right side
    24,745.86x = 267,656,936.88
  5. Step 5: Solve for x
    x = 267,656,936.88/24,745.86
  6. Step 6: Final answer
    x = 10,816.23

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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.