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Finding the Fourth Proportional to 16,049.39, 24,078.27 and 6,185.42

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Solution

The fourth proportional to 16,049.39, 24,078.27 and 6,185.42 is: 9,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.39 : 24,078.27 = 6,185.42 : x
  2. Step 2: Convert to fraction form
    16,049.39/24,078.27 = 6,185.42/x
  3. Step 3: Cross multiply
    16,049.39x = 24,078.27 × 6,185.42
  4. Step 4: Simplify right side
    16,049.39x = 148,934,061.50
  5. Step 5: Solve for x
    x = 148,934,061.50/16,049.39
  6. Step 6: Final answer
    x = 9,279.73

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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.