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Finding the Fourth Proportional to 24,327.56, 36,464.68 and 9,520.20

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Solution

The fourth proportional to 24,327.56, 36,464.68 and 9,520.20 is: 14,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.56 : 36,464.68 = 9,520.20 : x
  2. Step 2: Convert to fraction form
    24,327.56/36,464.68 = 9,520.20/x
  3. Step 3: Cross multiply
    24,327.56x = 36,464.68 × 9,520.20
  4. Step 4: Simplify right side
    24,327.56x = 347,151,022.74
  5. Step 5: Solve for x
    x = 347,151,022.74/24,327.56
  6. Step 6: Final answer
    x = 14,269.87

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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.