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Finding the Fourth Proportional to 24,669.20, 36,993 and 7,138.64

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Solution

The fourth proportional to 24,669.20, 36,993 and 7,138.64 is: 10,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669.20 : 36,993 = 7,138.64 : x
  2. Step 2: Convert to fraction form
    24,669.20/36,993 = 7,138.64/x
  3. Step 3: Cross multiply
    24,669.20x = 36,993 × 7,138.64
  4. Step 4: Simplify right side
    24,669.20x = 264,079,709.52
  5. Step 5: Solve for x
    x = 264,079,709.52/24,669.20
  6. Step 6: Final answer
    x = 10,704.83

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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.