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Finding the Fourth Proportional to 17,467, 26,200.49 and 4,319.62

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Solution

The fourth proportional to 17,467, 26,200.49 and 4,319.62 is: 6,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467 : 26,200.49 = 4,319.62 : x
  2. Step 2: Convert to fraction form
    17,467/26,200.49 = 4,319.62/x
  3. Step 3: Cross multiply
    17,467x = 26,200.49 × 4,319.62
  4. Step 4: Simplify right side
    17,467x = 113,176,160.61
  5. Step 5: Solve for x
    x = 113,176,160.61/17,467
  6. Step 6: Final answer
    x = 6,479.43

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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.