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Finding the Fourth Proportional to 24,111.12, 36,157.68 and 8,311.68

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Solution

The fourth proportional to 24,111.12, 36,157.68 and 8,311.68 is: 12,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111.12 : 36,157.68 = 8,311.68 : x
  2. Step 2: Convert to fraction form
    24,111.12/36,157.68 = 8,311.68/x
  3. Step 3: Cross multiply
    24,111.12x = 36,157.68 × 8,311.68
  4. Step 4: Simplify right side
    24,111.12x = 300,531,065.70
  5. Step 5: Solve for x
    x = 300,531,065.70/24,111.12
  6. Step 6: Final answer
    x = 12,464.42

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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.