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Finding the Fourth Proportional to 21,463.20, 32,183.64 and 8,319.42

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Solution

The fourth proportional to 21,463.20, 32,183.64 and 8,319.42 is: 12,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.20 : 32,183.64 = 8,319.42 : x
  2. Step 2: Convert to fraction form
    21,463.20/32,183.64 = 8,319.42/x
  3. Step 3: Cross multiply
    21,463.20x = 32,183.64 × 8,319.42
  4. Step 4: Simplify right side
    21,463.20x = 267,749,218.29
  5. Step 5: Solve for x
    x = 267,749,218.29/21,463.20
  6. Step 6: Final answer
    x = 12,474.80

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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.