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Finding the Fourth Proportional to 17,735.14, 26,608.18 and 8,374.78

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Solution

The fourth proportional to 17,735.14, 26,608.18 and 8,374.78 is: 12,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.14 : 26,608.18 = 8,374.78 : x
  2. Step 2: Convert to fraction form
    17,735.14/26,608.18 = 8,374.78/x
  3. Step 3: Cross multiply
    17,735.14x = 26,608.18 × 8,374.78
  4. Step 4: Simplify right side
    17,735.14x = 222,837,653.70
  5. Step 5: Solve for x
    x = 222,837,653.70/17,735.14
  6. Step 6: Final answer
    x = 12,564.75

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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.