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Finding the Fourth Proportional to 24,131.94, 36,188.49 and 8,118.24

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Solution

The fourth proportional to 24,131.94, 36,188.49 and 8,118.24 is: 12,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.94 : 36,188.49 = 8,118.24 : x
  2. Step 2: Convert to fraction form
    24,131.94/36,188.49 = 8,118.24/x
  3. Step 3: Cross multiply
    24,131.94x = 36,188.49 × 8,118.24
  4. Step 4: Simplify right side
    24,131.94x = 293,786,847.06
  5. Step 5: Solve for x
    x = 293,786,847.06/24,131.94
  6. Step 6: Final answer
    x = 12,174.19

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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.