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Finding the Fourth Proportional to 17,223, 25,838.82 and 4,911

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Solution

The fourth proportional to 17,223, 25,838.82 and 4,911 is: 7,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223 : 25,838.82 = 4,911 : x
  2. Step 2: Convert to fraction form
    17,223/25,838.82 = 4,911/x
  3. Step 3: Cross multiply
    17,223x = 25,838.82 × 4,911
  4. Step 4: Simplify right side
    17,223x = 126,894,445.02
  5. Step 5: Solve for x
    x = 126,894,445.02/17,223
  6. Step 6: Final answer
    x = 7,367.73

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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.