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Finding the Fourth Proportional to 16,433.43, 24,651 and 5,339.30

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Solution

The fourth proportional to 16,433.43, 24,651 and 5,339.30 is: 8,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.43 : 24,651 = 5,339.30 : x
  2. Step 2: Convert to fraction form
    16,433.43/24,651 = 5,339.30/x
  3. Step 3: Cross multiply
    16,433.43x = 24,651 × 5,339.30
  4. Step 4: Simplify right side
    16,433.43x = 131,618,961.05
  5. Step 5: Solve for x
    x = 131,618,961.05/16,433.43
  6. Step 6: Final answer
    x = 8,009.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.