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Finding the Fourth Proportional to 16,311.54, 24,452.64 and 5,916

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Solution

The fourth proportional to 16,311.54, 24,452.64 and 5,916 is: 8,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.54 : 24,452.64 = 5,916 : x
  2. Step 2: Convert to fraction form
    16,311.54/24,452.64 = 5,916/x
  3. Step 3: Cross multiply
    16,311.54x = 24,452.64 × 5,916
  4. Step 4: Simplify right side
    16,311.54x = 144,661,818.24
  5. Step 5: Solve for x
    x = 144,661,818.24/16,311.54
  6. Step 6: Final answer
    x = 8,868.68

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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.