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Finding the Fourth Proportional to 17,434.50, 26,135.82 and 6,336.42

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Solution

The fourth proportional to 17,434.50, 26,135.82 and 6,336.42 is: 9,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.50 : 26,135.82 = 6,336.42 : x
  2. Step 2: Convert to fraction form
    17,434.50/26,135.82 = 6,336.42/x
  3. Step 3: Cross multiply
    17,434.50x = 26,135.82 × 6,336.42
  4. Step 4: Simplify right side
    17,434.50x = 165,607,532.56
  5. Step 5: Solve for x
    x = 165,607,532.56/17,434.50
  6. Step 6: Final answer
    x = 9,498.84

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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.