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Finding the Fourth Proportional to 16,493.97, 24,743.55 and 5,398.05

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Solution

The fourth proportional to 16,493.97, 24,743.55 and 5,398.05 is: 8,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.97 : 24,743.55 = 5,398.05 : x
  2. Step 2: Convert to fraction form
    16,493.97/24,743.55 = 5,398.05/x
  3. Step 3: Cross multiply
    16,493.97x = 24,743.55 × 5,398.05
  4. Step 4: Simplify right side
    16,493.97x = 133,566,920.08
  5. Step 5: Solve for x
    x = 133,566,920.08/16,493.97
  6. Step 6: Final answer
    x = 8,097.92

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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.