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Finding the Fourth Proportional to 17,738.34, 26,613.99 and 10,817.70

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Solution

The fourth proportional to 17,738.34, 26,613.99 and 10,817.70 is: 16,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.34 : 26,613.99 = 10,817.70 : x
  2. Step 2: Convert to fraction form
    17,738.34/26,613.99 = 10,817.70/x
  3. Step 3: Cross multiply
    17,738.34x = 26,613.99 × 10,817.70
  4. Step 4: Simplify right side
    17,738.34x = 287,902,159.62
  5. Step 5: Solve for x
    x = 287,902,159.62/17,738.34
  6. Step 6: Final answer
    x = 16,230.50

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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.