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Finding the Fourth Proportional to 17,680.62, 26,496.78 and 9,771.42

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Solution

The fourth proportional to 17,680.62, 26,496.78 and 9,771.42 is: 14,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.62 : 26,496.78 = 9,771.42 : x
  2. Step 2: Convert to fraction form
    17,680.62/26,496.78 = 9,771.42/x
  3. Step 3: Cross multiply
    17,680.62x = 26,496.78 × 9,771.42
  4. Step 4: Simplify right side
    17,680.62x = 258,911,166.03
  5. Step 5: Solve for x
    x = 258,911,166.03/17,680.62
  6. Step 6: Final answer
    x = 14,643.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.