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Finding the Fourth Proportional to 22,376, 33,567.24 and 6,793.64

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Solution

The fourth proportional to 22,376, 33,567.24 and 6,793.64 is: 10,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376 : 33,567.24 = 6,793.64 : x
  2. Step 2: Convert to fraction form
    22,376/33,567.24 = 6,793.64/x
  3. Step 3: Cross multiply
    22,376x = 33,567.24 × 6,793.64
  4. Step 4: Simplify right side
    22,376x = 228,043,744.35
  5. Step 5: Solve for x
    x = 228,043,744.35/22,376
  6. Step 6: Final answer
    x = 10,191.44

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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.