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Finding the Fourth Proportional to 16,367.68, 24,549.04 and 5,977

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Solution

The fourth proportional to 16,367.68, 24,549.04 and 5,977 is: 8,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.68 : 24,549.04 = 5,977 : x
  2. Step 2: Convert to fraction form
    16,367.68/24,549.04 = 5,977/x
  3. Step 3: Cross multiply
    16,367.68x = 24,549.04 × 5,977
  4. Step 4: Simplify right side
    16,367.68x = 146,729,612.08
  5. Step 5: Solve for x
    x = 146,729,612.08/16,367.68
  6. Step 6: Final answer
    x = 8,964.59

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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.