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Finding the Fourth Proportional to 24,092.24, 36,138.49 and 8,509.86

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Solution

The fourth proportional to 24,092.24, 36,138.49 and 8,509.86 is: 12,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,092.24 : 36,138.49 = 8,509.86 : x
  2. Step 2: Convert to fraction form
    24,092.24/36,138.49 = 8,509.86/x
  3. Step 3: Cross multiply
    24,092.24x = 36,138.49 × 8,509.86
  4. Step 4: Simplify right side
    24,092.24x = 307,533,469.24
  5. Step 5: Solve for x
    x = 307,533,469.24/24,092.24
  6. Step 6: Final answer
    x = 12,764.84

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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.