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Finding the Fourth Proportional to 16,524, 24,796.94 and 6,135.75

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Solution

The fourth proportional to 16,524, 24,796.94 and 6,135.75 is: 9,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 24,796.94 = 6,135.75 : x
  2. Step 2: Convert to fraction form
    16,524/24,796.94 = 6,135.75/x
  3. Step 3: Cross multiply
    16,524x = 24,796.94 × 6,135.75
  4. Step 4: Simplify right side
    16,524x = 152,147,793.93
  5. Step 5: Solve for x
    x = 152,147,793.93/16,524
  6. Step 6: Final answer
    x = 9,207.69

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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.